thats a pretty long commute, especially in LA traffic. traffic dies down around 10 i would say. you should be good untill 3 o clock then it gets bad again.
my friend actually just got a job out in westwood and has been looking for a place. Its a tough place to get to since traffic there are the worst and rent is super expensive.
good neigboring city is somewhere in the san fernando valley. Anything north of the 101 like Sherman Oaks, Reseda, Granada Hills, encino. Rent can be pretty expensive though. Sherman oaks your talking $1200 for a studio. Reseda maybe $1000 for a studio. Van Nuys is like $800 but its pretty ghetto.
Personally I think the best bet is finding a roomate near UCLA. Here's a good site that I found,
http://149.142.49.115/cho/och.htm. since your not a student yet, you can click on the "public listings" page.