Duh.
Also duh.
One of the jewels of downtown! Hemisfair Park was home to the 1968 World's Fair and still boasts the Tower of the Americas. If you have time, ride the elevator to the top for the view and a cocktail in the bar! The park itself has been reimagined and is now a vibrant community destination with stores, restaurants, housing and plenty of outdoor space.
Some other interesting places to go include San Fernando Cathedral, Hopscotch Interactive Museum, San Antonio Missions UNESCO World Heritage Site (you'll need a car), King William Historic Neighborhood and Southtown Arts District (these last two are an easy walk south of downtown).