If you're enrolled in a full-time recognised course you might be eligible for something from Centrelink, but this will just be in the form of Austudy or whatever they're calling it these days (was about $450 pfn when I was on it 8 years ago and I don't think much has changed).
If you don't have the means for flight training and are looking to fund it through the government, there are a number of places now that offer flight training through the government fee-help program (like hecs). Places that come to mind are Edith Cowen University here in WA, FTA in Adelaide, Swinburne? and a few more around the country. I think you still need to fund some of the flight training yourself (up to PPL I think) and do your sums as in the long run this can be a very expensive option.
Do plenty of research before signing anything or choosing a training provider and good luck if and when you start training
