You will definitely appreciate it's warm climate and some of the most famous beaches including Santa Monica beach and Venice beach along with many small and unique beaches like El Matador.
Of course you can never go wrong with DisneyLand or cater to your artistic side by visiting Getty Museum, Walt Disney Concert Hall or incorporate some science and learning at Griffith Observatory.
If high end shopping is your thing and you got the cash (or plastic) to put to some shining use then there's Rodeo Drive. For everyone else you can still do window shopping and admire at the exotic cars parked on the street.
If you are Star Trek fan don't forget to visit Vasquez Rocks. Here you will be transported to a different planet.