Thanks for this post.
What's the best part of the Getty (other than finding it)?
I think the best part of the Getty is the building / grounds / setting / view. The building has a fabulous view of LA and of the Pacific, and it's very pleasant to sit and have a snack near the outside fountain and gardens. If you go, don't forget to look for fossils in the marble near the inner fountains and some high-traffic areas.
As for art, the Getty is (deservedly, in my opinion) known for it's collection of Greco-Roman antiquities. It has some very nice pieces, and those galleries are the ones I would see if I had limited time there.