Hello to All

I have been reviewing this topic in your forum. I was wondering if I move to Australia from the US can I qualify for the same health coverage that the citizens receive or would I have to pay for my insurance? My husband is a citizen of Australia and we are wanting to move to Melbourne where he is from. My mother is dependent on us and I also wanted to know if she could come with us even if her health is not great. Would she need to pay for her own insurance. If so how much is it? Any information you can pass this way would be greatly appreciated.