If you have private insurance then you can choose Private or Public. If not then Public unless you can afford private charge.
If go public, need GP refer, Mater Public Hospital I believe is the best. 1 out of 6 Queenslander were born in Mater, their room and services as good as private. But you cannot choose doctor.
Private, you can choose doctor you like, but usually insurance need one year waiting period.
You can get medicare card immediate provided that you have all evidence, like driving license, address etc.
Any kind of pain management available here.
By the way, my wife going to give birth soon (due day tomorrow 8-Oct) :;pppp: