If you don't have any savings, and don't have any income other than from working, how do you expect to live anywhere without working? Are you staying at home right now?
The bay area is expensive, but it varies a lot depending on where you are. Here's a hint: don't live in San Francisco. Look for a place in the east bay with roommates. If you want easy access to SF, just make sure it's near a BART station. You can get a decent place for < $600/mo that way.
If you're a good programmer and you can network, you should be able to cover your costs while only working 10-20 hrs/wk. That said, it make take you a little while to get your foot in the door if you're fresh out of school.
If you want to go soon, there are going to be a lot of university kids subletting their places for the summer.
The bay area is a great place. You'll have fun living there. Good luck!