A friend of mine had her baby at a birth centre called Birralea in Melbourne and was very happy with it. They also provided all her antenatal care.
The c/s rate varies a lot from place to place of course but the national average is about 30%

As far as I know La Leche League is not active in Australia but I guess the equivalent would be the Australian Breastfeeding Association. They have a website which talks about the resources they provide including a phone helpline which is staffed by breastfeeding mothers.
The birthing climate in Australia at the moment is highly politically charged and there is a fairly big divide between medicine and midwfery. However, one of the things we have going for us, IMO is that all maternity units are staffed almost exclusively by midwives (and I say "almost" only because sometimes, in cases of shortstaffing etc RNs or ENs are seconded to assist. A birthing woman will always have a midwife attending her and, in most circumstances it will be one-on-one).
If she wants a natural birth I would strongly advice her not to see a private OB or plan to birth at a private hospital. The public system (overall) is much more natural birth friendly if she opts to go the hospital route. The hospital where I did my midwifery (a large teaching hospital in a regional city) and where I am having my babe just released a policy on how to support women choosing to have a lotus birth for example.
On the downside, if she chooses to go with an independent midwife she will have to pay for it herself as there is no medicare rebate for homebirth and, as far as I know, none of the private insurers will cover it either. The flipside of this is, if she goes through the public system, she won't pay a cent (if she is medicare eligible). I'm pretty sure birth centres are all fully covered by medicare as well.
www.homebirthaustralia.org would probably be the place to start looking for an independent midwife if that is they way she wants to go.
If I can help with any more info/resouces etc pleasee feel free to PM me.
Regards
Kate
ETA - the major issue with independent midwives in Australia is that, as far as I know, none of them will have professional indeminity insurance.