There are a lot of those pools, but I suspect they are all Municipal owned as they are on the Public beaches. Bondi Beach has two, one at each end.
The one on the Eastern end is more a wading pool for little kids.
Use Google Earth.
The one on the Western end is used all year round, but it may be pumped from the sea, but it does get some waves crashing over the walls.
Here's another one I just remembered.
It's been a long while since I was in Australia, and I am sure there are bunches of others. I doubt there are any privately owned ones as the foreshore is generally Public Property. Unlike here in the US, where in some places, it is possible to buy the beach and fence it off. But, that may have changed on Oz since I was there.