I bought my car in Livermore and go there once in awhile to have it serviced, but that's it. If there are any great restaurants there (other than "In-N-Out Burger" of course!), I'm not aware of them. Maybe there are, but you'll have to ask someone other than me for a recommendation. There are some small wineries in Livermore that might be fun to visit, but with Napa/Sonoma/Healdsburg so close, why stay in Livermore if wine is really your thing.
I'm sorry to say I rarely visit San Jose either, though I'm sure there are better restaurants there than in Livermore.
There are so many options in the Bay Area, depends on what you're into and how much you want to spend. Livermore is kind of out in the "country" (by Bay Area standards), but it's not that far from Berkeley/Oakland/San Francisco where there are incredible places to eat.
Check this list out:
http://www.sfgate.com/food/top100/2012/
Whatever your opinion of Alice Waters, Chez Panisse in Berkeley is wonderful and, if you go for lunch instead of dinner, reasonably priced. I have never been to Manresa, but it was just listed as one of the top 50 restaurants in the world in an article someone posted a link to here this week.
The Monterey Bay Aquarium is a fun place to visit, as is Carmel (walk around on the beach, lots of interesting shops, great little restaurants).