I'm fairly certain that this hasn't been mentioned yet, but Studio Plaza is a complex in Isla Vista with only studio apartments. I'm currently living there, actually, and you would be surprised to find out how quiet it is. Depending on the location of your studio, you'd pay 950 or 900 a month, and you have the option of furnished/unfurnished (utilities except internet/cable are included in rent). I really like it here because biking is the most convenient option, but two bus lines to campus stop right outside the gate if you need them. The on-site management is really strict about the no-parties policy; they give priority to grad students and professors who need a quiet place to work. It's one of the only studios you can find in IV that is less than $1000/month, I know, I looked relentlessly last year. As for getting to the grocery store, the bus stop to get to Camino Real Marketplace is around the corner, but I'd try to make friends with someone who has a car.