This would be a great thing to do on the 4th or Saturday the 6th! Take a group and a cooler and go hang out on the lake.
https://www.rowingdock.com/rentals/
https://ladybirdlakerentals.wordpress.com/
This is ideal for the day of the wedding or Saturday the 6th.
Shop around South Congress, or scooter to the Texas Capitol
Shop around the Domain nearby the hotel blocks. Lots of good food.
Hike up to the 360 Bridge Overlook