After a recommendation from Orbithotel staff, I drove up to the Getty Center. Now here's the deal: all the other IgoUgo writers have decided to park at the $5 garage at Getty Center, but there is a better way. The Center has a satellite parking lot on Constitution and Sepulveda with FREE parking and a shuttle to the Center! Of course, you miss out on the Disneyland-style tram ride from the $5 Getty lot, but this shuttle ride actually has a better view and it's free. Granted, it will take an extra 10 minutes, but hey it's up to you.
The Getty Center is great in a couple of ways. I always try to find a quiet spot where I can sit, read, and study in any new city I visit. I find coffee shops are great for people watching, but I can't get any work done in most places that blast music I don't like. So the Center is a great place to study and people watch. The restaurants on the grounds are great too. The art exhibits can keep an entire family busy for hours. I would schedule the better part of the day to see the entire complex, including the exhibits and gardens.
The great part is that the Center can be a very romantic spot. The south pavillion towers have a fantastic panoramic view of the entire Los Angeles area that can't be beat at sunset. The museum closes at 9pm most days and 6pm on Sunday.