UCLA offers free campus tours and the campus is genuinely beautiful. Tons of movie locations if you're into that stuff, and the architecture is classic California collegiate with red brick and Spanish influences. As someone who went to an ugly concrete state school back east, this place is gorgeous.

The sculpture garden is free to wander and has some really cool pieces. Student guides know all the filming locations. Even if you're not college-aged it's a nice walk through Westwood.