Spend your first day in Hollywood. Explore the Hollywood Walk of Fame, and if you want to see the city from above (as well as get a good view of the Hollywood sign), then head to the Griffiths Observatory. Do some window shopping on Rodeo Drive, or explore a few local museums, like the Hollywood Museum or the Los Angeles County Museum of Art. If you have more time, then explore Downtown L.A. and the beach area on the Westside.