If you're thinking of a day trip to Santa Barbara, consider taking Amtrak. You're in Hollywood near the Red Line. The Red Line connects to Union Station in downtown. (Trip takes about 15 minutes.) Amtrak runs many trains to Santa Barbara. You get get around most of Santa Barbara without a car. It might be a more relaxing way to make the trip.
In addition to the usual Hollywood stuff (i.e. Chinese and Egyptian Theaters), I recommend heading down to the Old Farmer's Market & The Grove at Fairfax & Third. Nice mix of old and new. If you drive, park on the roof for an excellent view of the L.A. area.
I'd also recommend Disney Hall downtown and The Getty on the west side.
HTH. Enjoy your trip.