Please see the following from the City of Austin:

Course Update Effective Friday, May 1st – Tee sheet expanded to 7:00 A.M. until 6:00 P.M. Maximum 4 players per tee time. One spectator per player will be allowed. Spectators must stay off greens at all times and social distance.

Pro Shop Check- in is limited 2 patrons in the pro shop at a time. Masks are encouraged when entering building or common area. Single rider carts will be allowed on the 18 hole courses only. Maximum of two golf carts per group (pertains to rented or private). Two bags may be on the cart. Driver must be the same for the entire round, no switching please. Residents of the same household may ride in the same cart. All driving ranges (excluding Hancock) will re-open with social distancing and limits on spacing.

Golf ATX golf courses offer a great golf experience at an affordable price. The six city-operated public golf courses and one short-practice course are centrally located and minutes from downtown Austin. Each course is unique in design and setting, and golfers of all ages and skill levels visit the Golf ATX courses to play recreationally and competitively. Golf ATX – experience a round for yourself.

Source:  http://www.austintexas.gov/department/golf-atx