For Italian, you can't beat Giorgio Baldi on West Channel or the more formal Valentino. And to some Wolfgang Puck's best is in Santa Monica called Chinois on Main. Enjoy your trip. Any help would be appreciated. Rick Quesada Musso and Frank's is a Hollywood institution, not located exactly where you'll be but not terribly far.
Downtown is all business weekdays, really very little going on during the weekends there.
You can get a review of it at the Zagat online site. Downtown I recommend Cicada. Take a look at their Web Site located on LA Dining. For lunch downtown, Nicola is interesting. Another way to get the feeling of Hollywood and an incredible view is to go to Yamashiro.