You mean $1000 total or each? If total it's probably on the low end and expect to pay more. Check craigslist to have an idea of price. You can get around by bike, public transportation or walking, but it's not a bad idea to either have a car or rent one from time to time to travel around the bay area. (highly recommended!)
As for recommendations of places, my advice is to stay with friends in the first days like you said, look around and see the places you like. You probably can rent a place in 1-3 weeks.
As for recommendations of places, my advice is to stay with friends in the first days like you said, look around and see the places you like. You probably can rent a place in 1-3 weeks.