The Big Sur coast offers 90 miles of spectacular coastal vistas, with several state parks in which to hike or look for wildlife. In the spring, you'll see bush lupine and other wildflowers!
For a longer drive along the California coast, consider the PCH from San Francisco to Santa Monica, or even San Diego! You'll find both outdoor adventures and cities and towns en route.
Movie Road, in the Alabama Hills, is a short dirt road in the Alabama Hills that offers phenomenal views of the Sierra Nevada. While you're here, hike the short trail to Mobius Arch!