1) Raspberry Pi has 2 different way to connect to screen/monitor/TV. HDMI and RCA, so if you have RCA cable and your screen/monitor/TV has RCA connector (http://en.wikipedia.org/wiki/RCA_connector) you can use it to connect. I have a setup with RCA cable to connect my old CRT TV.  

2) 
What you need;  
* Raspberry Pi (Model B)
* SD card (installed OS of course)
* USB Keyboard 
* USB Mouse
* RCA or HDMI cable to connect to screen/monitor/TV
* Power supply (5v/1A)

Optional;  
* Wi-fi adapter (choose known verified vendor/model : http://elinux.org/RPi_USB_Wi-Fi_Adapters)  
* External powered USB Hub (in case you want connect more USB devices)

**Update:**  
Of course you can use converters like DVI->HDMI. But think that, HDMI is digital, RCA is analog. 

I'm using a DVI-HDMI cable because my old LCD monitor uses DVI connection, but at work I'm using a HDMI->Display Port converter to connect my HP monitor with Display Port. Converters mostly works.