LocalBitcoins is the most popular P2P platform in Australia with the biggest base of Australian bitcoin traders. The exchange operates as any other P2P, where merchants post bitcoin ads with the amount, payment method and other trade rules specified. The only cost, apart from BTC price, is a transaction fee of 1%.
Buying BTC at Australia LocalBitcoins exchanger
Pros
escrow service available;
a wide range of purchase options available in Australia;
bitcoin purchase does not require verification.
Cons
scams and frauds are common;
purchase process duration depends on individual traders.