Yay UCLA! I did my undergrad there. There aren't really many hotels near by. There's the oncampus hotel that was mentioned above, and there is a W Hotel in Westwood. Other than that, your best bet is somewhere in Santa Monica, Beverly Hills, or somewhere around there. Cabs are expensive and hard to find- better off renting a car. You'll need it anyway to get around LA. Much cheaper than the Super Shuttle! Let me know if you have any other questions.