As of May 13, the Centers for Disease Control issued new guidance to those who are fully vaccinated:
For full details see: When You’ve Been Fully Vaccinated | CDC
A note of caution - Austin Public Heath is still observing "Stage 3 Guidelines", which are far more cautious. Stage 3 guidance advises that residents should: Practice good hygiene; Wear a mask; Stay home if sick; Avoid sick people; avoid all gatherings with social groups greater than 10. Businesses are recommended to operate at up to 50-75% capacity.
We might expect to see a closer alignment with the CDC guidance in the coming days. Check the APH website for updates: COVID-19 in Austin | AustinTexas.gov