This is true in the lower house, but not in the upper house (the senate) where there are 5 significant parties holding seats (counting the LNP coalition as one party and the Centre Alliance as a significant party) plus some independents, and no natural majority across any combination[1].
I said "dominate" not "absolute control." I mean you're talking 14 candidates between 5 parties, with 9 from Green (5 between 4). By "dominate" I mean that the 2 parties (Coalition + Labor) control ~82%. Even America isn't 100% controlled by Dems + Repubs, but it is the proportion that is the problem. Really, that the parties are not representative and there is a lack of mechanism for a ore representative party to start and gain power. I'd argue that the same is true for Australia in that respect.
I should also point out that I mentioned a specific advantage.
[1] https://www.aph.gov.au/Senators_and_Members/Senators/Senate_...