Travel to and from LAX
The Westwood Flyaway shuttle service picks up passengers at LAX once to twice an hour depending on the day and time. This shuttle costs $10 each way and drops you off near Kinross Ave/Westwood Blvd. From there, you can pick up the BruinBus or walk about 20 minutes to campus.
What to see and do
Around UCLA there are plenty of places to visit.
Napa Valley Grille
The Fowler Museum
The Hammer Museum
The Getty Center
Accommodations near UCLA
The W Hotel: http://www.starwoodhotels.com/whotels/property/overview/index.html?propertyID=97518
The Hilgard House: http://hilgardhouse.com/
The Claremont Hotel: http://www.claremonthotel.net/
Royal Palace Westwood Hotel: http://royalpalacewestwood.room-ez.com/