Your profile is public by default, but you can turn it private so that no one can see any of your posts or rounds without your permission.
Go to the 'More' tab (bottom bar, right corner), tap 'Profile Settings', scroll down and choose if you want to hide your activity or not by switching the toggle ON or OFF.
Toggle ON (blue) - Your Profile is private; Toggle OFF (white) - Your Profile is public.
Note: When your profile is private, other users will not be able to see your activity. Other users can still request to follow you, and it is your option to grant their request or not. Private golfers won't appear in the Leaderboards.