I think it depends on your hospital as to whether you get a private room or not. I'm booked into the private hospital in Berwick (I noticed you'e in Gippsland - Berwick might not be too far for you) and they ONLY have private rooms. So you are guaranteed a room on your own.

Half of the rooms have double beds, and hubbies can stay there if they want to for no extra cost (unless he wants meals provided). The other half are for caesar patients or used if the doubles are full, and only ahve single beds. But they are still private rooms.

The birthing suites have ensuites with smallish baths too, but they don't let you birth in the bath.