Ah yes, my homeland and country.
If you go to a Bubba Gump's, go to the one in Monterrey, my roommate's a supervisor at the one in San Francisco. NOT TO BE TRUSTED.
Santa Cruz is wonderful, of course, and my hometown (same with PPinkham), but unless you take time to vist say, Henry Cowell forest, it's pretty much a day trip, hitting the downtown, and the boardwalk in one fell swoop.
I have to repeat what Paul said about highway 1 between Santa Cruz and Monterrey, except I still think Moss Landing's pretty. If you get a chance, there are beautiful wetlands out there.
I mean there's soooo much to see and I've kinda been there the last 24 years, so there's a lot of ground to cover. Definitely spend time out in the city and in Berkeley (i'll be happy to show you guys around), lots of cool museums, historic sights, and pretty natural places.
Oh and we shall go to Land's End:


My favorite spot in the city, basically on the corner of the city where the bay gives out to the ocean.
Obviously there's much to do and check out in the city and the greater Bay Area, so I'd recommend splitting your trip into two halves, the SF part (and its surrounding areas, like Marin, Berkeley, etc.) and then the other half being the rest of your trip.
You also should try to get down to Big Sur if you can, Carmel is also beautiful and uh yeah... hope all of this was helpful.