There are a myriad things going on at your local library every day. Go online for a schedule of their story times, puppet shows, book groups, instructional classes, meetings, and more. Not to mention they have a ton of great books.
Learn about the Austin Symphony Orchestra and its various instruments (and performers), take part in arts & crafts, listen to storytellers, and more. Why not play a tune yourself at the instrument petting zoo? Through July 31, Wednesdays, 9:30-11:30am (no show on July 3). 50 cents per child; free for adults accompanying a child.