I swam and did aquamums classes up til 40 weeks pregnant.
I never found any issues with it.

Someone mentioned ozone pools - if you can find one that uses ozone this won't be a problem for you. There are some here in Melbourne, but not sure about NSW.

OT - I found ozone pools great, I used to train in one 20hrs/week. The only problem was if the put in too much ozone the pool would go black - but at least it was obvious! Apparently even then they were safe to swim in, but we never did, and I doubt the public would have been allowed in.