Santa Cruz is one of America's many surfing capitals, complete with its own museum devoted to the sport, and a beach whose waves are known all over the world.  Spend some time enjoying the amusements on the Santa Cruz Boardwalk, or head over to the local "mystery spot" where gravity doesn't seem to work normally.  For outdoor recreation, the Monterey Bay Marine Sanctuary and Natural Bridges State Park are the places to be. 

Santa Cruz is also well-known for it's prestigious university, UC Santa Cruz. 

www.santacruz.com