I am currently a full-time volunteer in the Southwest and I live on a stipend of a few thousand less than that. It's actually not that bad, in my opinion! Of course, I was used to being poor from undergrad, so it wasn't a huge shock. Here's my advice:
-get roommates. I live in a nice apartment, but because we have 4 people in a 2-bedroom, our rent is crazy, crazy low.
-make a budget and stick to it. Cooking for yourself can be really, really cheap (beans and rice!) and still leave room to eat out once a month or so.
-if you have any time to do side gigs, go for it. I tutor a few hours a week, which isn't enough to take up much time, but you'd be surprised at the exorbitant rates you can get away with charging as a private tutor. and it's fun teaching experience, too.
You'll be fine. Also, you may qualify for food stamps, which in my area is about $200 a month in groceries.