Question
The OP is quite new to Rpi.
He has a common GPS module QueCtel L80-R
He has GPSD loaded and listening at the GPSD socket.
He has two problems:
a. "$ cgps" does not show any GPS data.
b. "$ cat /dev/ttyUSB0" does not show any serial transmission signals either.
How to fix it?

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Answer
Update 2020jun17hkt2143
I have found the following gps-python sample code for Rpi4 and uBlox GPS module
python-gps sample codes, Raspberry Pi 4 + uBlox GPS module (uart)
Now I am going to test the sample code using bot uBlox Neo M7 and M8 modules.
Update 2020jun15hkt1231
I found the user guide the OP is following is some 4 years old (2016), so should be a bit out of date (For example, the UART CP2012 driver recommended might not be good any more, as last year I tested CH340 is much better, and old 2012 drivers for Win7 are no longer working for new Win10 version).
I also suspected that new GPS modules on sale in these two years should have a better performance than old versions. So I bought two more GPS modules Neo M7 and M8 to compare. To my surprise, the fixing times of the 3 GPS modules do not have any substantial difference. So I concluded that the OP's Quectel L80-R GPS should still be up to date and work OK, at least for hobbyist projects like mine.

Short Answer
I would suggest the OP to do the following testing/troubleshooting procedures:
Install the three most basic GPS programs: gpsd, gpsd-client, python-gps, all three programs must be of same version 3.17-7. See Appendix D for more details.
Enable/start/status GPSD, to make sure the software has been installed properly. In case there are installation errors, it is important to remove old installations, or use a fresh SD image to try again. It is easier to do the installation using Desktop GUI. I have tried with Rpi3B+ and Rpi4B, both with raspbian buster. See Part C below for more details.
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Long Answer
Contents
Part A - Setting up the module and trying a get a fix
Part B - Checking out serial hardware /dev/ttyS0 and /dev/ttyUSB0
Part C - Installing GPSD and testing utilities gpsmon, cgps, and xgps
Part D - Installing GPS Python library and testing python NMEA 0183 programs
Part E - Discussion and recommendation
References
Appendices
Program Listings
Figures
Part A - Setting up the GPS module and trying to get a fix
First thing first is to set up the GPS module and try to get a fix (Figures 1 ~ 3).
I placed the antenna about 15cm outside the window and powered up. As usual, the first fix takes about 1 to 2 minutes. The subsequent power off power on fixes takes from 15 sec to 45 sec, with an average of 30 seconds. This fixing timing is similar to last time of 2019may. So I quickly concluded that setup and fixing is reliable.
This is the imgur fixing video.
And the photo.
Notes:
When power is on, blue LED is turned on and steady. When there is a fix, blue LED blinks as shown in the above Imgur video.
The serial cable is not connected in this fixing test. Serial cable test is the next step.

Part B - Checking out the serial cable
I used my serial loopback program v0.99 (Ref 12) to verify that Rpi's on board Tx/Rx wiring and software are more or less OK.
Next step is to install GPSD.
Part C - Installing GPSD
I quickly read the Quectel L80RE GPS Module User Guide and follow the
instructions there to install the following:
gpsd, gpsd-clients, and python-gps,
and starting running it. Everything was smooth, except a couple of errors during installation. I could enable, start, status without any problem but cgps does not seem to run properly, such as indicating no fix, though there are actually a fix.

The above installations using CLI terminal commands $sudo apt-get install were not smooth, with a couple of error messages. So I used buster Desktop GUI and installed the similar gpsd and client packages v3.17-7 as shown below:






Part D - Installin GPS Python library and testing python demo programs
(15) Quectel GPS Module User Guide Reading Summary V0.3 (Python Demo Programs)
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References
(1) Quectel L80-R GPS Module User Guide
(2) Quectel L80-R Hardware Design GPS Module Series Rev. L80-R_Hardware_Design_V1.2 Date: 2016
(3) Quectel L80-R Compact GPS Module Integrated with Patch Antenna - 2015
(4) Quectel L80-R Compact GPS module integrated with Patch antenna for Acquisition and tracking - DIYMall US$14
(5) Quectel GPS Module User Guide Reading Summary V0.1
(6) Quectel GPS Module User Guide Reading Summary V0.2
(7) Quectel GPS Module User Guide Reading Summary V0.3 (Python Demo Programs)
(8) SkyTraq ATK1218-BD (ATK-S1216) GPS/BD dual mode GPS module - Risym ¥98
(9) SkyTraq GPS + Beidou Two-mode positioning module - US$24
(10) SkyTraq Products - SkyTraq
(11) SkyTraq S1216 [renamed S1218-BD] Family GNSS Module Data Sheet - SkyTraq
(12) Serial Port Loopback Test Program V0.60 - tlfong01 2019apr15 Ask Question
(13) Serial LoopBack Program v0.98 -tlfong01 2020jan08
(14) Serial Port Multiple Problem
(15) Serial UART LoopBack Program v0.99 tlfong01 2020jun03hkt1510
(16) Rpi3 Old Driver Serail Cable Test Results - HL340, PL2302, CP2102 might not work)
(17) Raspberry Pi Serial (UART) Tutorial - Roland Pelayo 2018jun12
(18) NMEA 0183 - Wikipedia
(19) NMEA User Guide
(20) gpsd_json — gpsd request/response protocol
(21) gpsd(8) manual pages
(22) libgps(3) manual pages
(23) gspmon manual pages - ubuntu
(24) gpsmon forum discussion - rpi.org.forum
(25) BerryGPS Tutorial Setup Guide
(26) MakerPro Daniel Hertz Tutorial: How to Use a GPS Receiver With Rpi 4 - 2020feb03
(27) MakerPro Daniel Hertz Tutorial: How to read GPS data with Python on Rpi - Daniel Hertz, MakerPro 2020feb24
(28) How can Rpi connect a GPS module? Rpi.StackExchange Q&A - tlfong01 2019
(28) Fixing: GPS TTFF/TTSF (Time To First Fix, Time To Subsequent Fix) - Wikipedia
(29) Fixing: Weather - Can an overcast sky prevent your GPS from working? - Quora
(30) Fixing: Weather - Does heavy cloud cover affect GPS reception? - Rich Owings 2005sep10
(31) GPS vs GNSS: Understanding PNT Satellite Systems - Masterclock 2019jan14
(32) AliExpress Neo6M GPS Module Catalog
(33) TaoBao NEO-6M APM2 GPS Module ¥14
(34) The 10 Best Diy Gps Module of 2020 (Beginners Guide) Josie Schinner 2019sep09
(35) The 8 Best Arduino GPS Modules 2019 - 2019Sep
(36) python-gps sample codes, Raspberry Pi 4 + u-blox GPS module (uart)
(37) Getting GPS to work on Rpi3B - dragino.com
(38) NEO-6M GPS u-blox Datasheet and Protocol Specification - ublox 2013apr18
(39) NEO-6M GPS ESP32 How to boost receiving speed - Victor, Medium 2020jan12
(40) Neo-6M GPS Arduino How to boost receiver speed - 2017apr14
(41) Neo-6/7/8 Interface Manuals
(42) NEO-6 u-blox 6 GPS Modules Data Sheet - ublox
(43) NEO-6M Product Sheet and References - WaveShare
(44) NEO-6M User Manual - WaveShare
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Appendices
Appendix A - GPS Module Pinout and Block Diagram

Appendix B - NMEA 0183 Message Format

Appendix C GPSD Commands Summary V0.1
Serial Commands
$ dmesg | grep tty
[ 0.001609] console [tty1] enabled
[ 0.092061] 3f201000.uart: ttyAMA0 at MMIO 0x3f201000 (irq = 87, base_baud = 0) is a PL011 rev2
[ 0.594855] console [ttyAMA0] enabled
ttyS0 = Serial for Raspberry Pi 3, ttyAMA0 = Serial for all other Raspberry Pi
'serial0' is assigned as an alias to either of the above devices. This makes the device a lot easier to remember.
pi@raspberrypi ~ $ ls -l /dev/serial0
lrwxrwxrwx 1 root root 5 Aug 28 12:49 /dev/serial0 -> ttyS0
Install gpsd
$ sudo apt-get update
$ sudo apt-get upgrade
$ sudo reboot
$ sudo apt-get install gpsd-clients gpsd -y
$ usdo apt-get install gpsmon
To enable/start/stop/disable/kill gpsd
$ sudo systemctl enable gpsd.socket
$ sudo systemctl start gpsd.socket
$ sudo systemctl stop gpsd.socket
$ sudo systemctl disable gpsd.socket
$ sudo killall gpsd
Gpsd config file
$ sudo nano /etc/default/gpsd
Look for DEVICES="" and change it to
DEVICES="/dev/serial0"
3 Ways To read GPS data
1. cat
$ cat /dev/serial0
2. minicom
$ sudo apt-get install minicom -y
$ minicom -b 9600 -o -D /dev/serial0
3. Screen
$ sudo apt-get install screen
$ screen /dev/serial0 9600
To view GPS data with gpsmon or cgps, if gpsd not aut started at boot
$ sudo gpsd /dev/serial0 -F /var/run/gpsd.sock
$ sudo gpsmon
$ sudo cgps
$ sudo xcgs
To profile on a GPS. A gnuplot scatter graph of 100 samples
$ gpsprof | gnuplot -persist
A summary of some NMEA sentences
$GPVTG Vector track and Speed over the Ground
$GPGGA GGA - essential fix data which provide 3D location and accuracy data.
$GPGLL GLL - Geographic Latitude and Longitude
$GPGSA GSA - details on the nature of the fix
$GPGSV Detailed satelite data
$GPRMC RMC - The recommended minimum
Appendix D - Installing and setting up GPSD on buster release 2020may23

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Program Listings
(A) Serial Lookback Test v0.6 - 2019apr08 tlfong01
# uart_test06 tlfong01 2019apr08hkt1603 ***
# https://raspberrypi.stackexchange.com/questions/96534/rpi-python-serial-test-program/96535#96535
# uart_test06 tlfong01 2019apr08hkt1603 ***
# Computer = Rpi3B+
# Linux = $ hostnamectl = raspberrypi Raspbian GNU/Linux 9 (stretch) Linux 4.14.34-v7+ arm
# Python = >>> sys.version = 3.5.3 Jan 19 2017
# Test 1 - repeatWriteBytes() - UART port repeatedly send out bytes.
# Function - Repeat many times sending bytes, pause after each bytes.
# Test 2 - loopBackTest() - UART port send and receive bytes.
# Function - Send one bytes to TX, wait some time (Note 1), then read bytes back from RX.
# Setup - Connet Tx pin to Rx pin to form a loop.
# Note 1
# Bolutek BlueTooth BC04 needs at least 10mS to respond
from time import sleep
import serial
serialPort0 = serial.Serial(port = '/dev/serial0',
baudrate = 9600,
parity = serial.PARITY_NONE,
stopbits = serial.STOPBITS_ONE,
bytesize = serial.EIGHTBITS,
timeout= 1)
def setSerialPortBaudRate(serialPort, baudrate):
serialPort.baudrate = baudrate
return
def serialPortWriteBytes(serialPort, writeBytes):
serialPort.write(writeBytes)
return
def serialPortReadBytes(serialPort, maxBytesLength):
readBytes = serialPort.read(maxBytesLength)
return readBytes
def serialPortWriteWaitReadBytes(serialPort, writeBytes, maxBytesLength, waitTime):
serialPort.flushInput()
serialPort.flushOutput()
serialPort.write(writeBytes)
sleep(waitTime)
readBytes = serialPortReadBytes(serialPort, maxBytesLength)
print(' bytes written = ', writeBytes)
print(' bytes read = ', readBytes)
return readBytes
def repeatWriteBytes(serialPort, writeBytes, pauseTimeBetweenBytes, repeatCount):
print(' Begin repeatWriteOneByte(), ...')
for i in range(repeatCount):
serialPortWriteBytes(serialPort, writeBytes)
sleep(pauseTimeBetweenBytes)
print(' End repeatWriteOneByte().')
return
def serialPortLoopBack(serialPort, writeBytes, maxBytesLength, waitTime):
print(' Begin serialPortLoopBack() [Remember to connect Tx to Rx!] , ...')
serialPortWriteWaitReadBytes(serialPort, writeBytes, maxBytesLength, waitTime)
print(' End serialPortLoopBack(), ...')
return
setSerialPortBaudRate(serialPort0, 9600)
#repeatWriteBytes(serialPort0, b'AT\r\n', 0.01, 200000000)
serialPortLoopBack(serialPort0, b'AT\r\n', 32, 0.030)
''' Sample output tlfong01 2019apr0801
>>>
=== RESTART: /home/pi/Python_Programs/test1193/uart_test02_2019apr0801.py ===
Begin serialPortLoopBack() [Remember to connect Tx to Rx!] , ...
bytes written = b'AT\r\n'
bytes read = b'AT\r\n'
End serialPortLoopBack(), ...
>>>
'''
# End
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Figures
Fig 1 - GPS Module Setup 1

Fig 2 - GPS Module Setup 2

Fig 3 - GPS Module Setup 3

Fig 4 - GPS Testing Site
