We suggest heading into Yosemite Valley to see the famous El Capitan and Half Dome for yourself. Check out the website for numerous hikes at varying difficulty or spend your day renting a bike, hanging out at the river or walking the valley loop.
You can drive to Glacier Point, this is one of the best vistas overlooking Yosemite Valley. Or you can enjoy hikes to Sentinel Dome and Taft Point if you want to stretch your legs, these are both 2 miles round trip.
If you're more inclined to relax and unwind, The Bug offers yoga classes and spa treatments on site.
We highly recommend going to Tuolumne Meadows to see another area of the park, this is the high country at 8,600' elevation. This is a nice area to do a driving tour, you don't have to hike to see the views. But it's more enjoyable of you do!