Check out the Alamo for a unique and wonderful movie-going experience!
It'll likely be too cold around wedding time but hey! Who knows? It's Texas so maybe it'll be 90 degrees and you can enjoy this giant, natural pool in the middle of Austin.
Right in the middle of Austin is lovely Town Lake, or Ladybird Lake. Check out the walking trail or rent paddle boards or kayaks and go out on the water.
Check out this Texas state park right inside Austin city limits!