The JP Getty museum sits on top of a hill right off the 405 freeway. It is a huge place to walk around and see artworks from different artists and time periods. There is a little subway that takes you up the hill to the museum itself. You have to park down the hill or get reservations by the phone. There is also a cafetaria inside for food and drinks. It will probably take a day or so to see everything inside. The best part is that it is free.
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