Going to Australia in 2 weeks, what are the must sees?

So my wife and I will be backpacking in Australia for one month and I wanted to ask all the Aussies and people who have travelled to Australia what the must sees are. We will be flying in and out of Sydney with a liveaboard dive trip from Dec. 24 to 28 but other than that we've got nothing booked. The country is so big and we don't want to waste any time since we will likely be spending a lot of time travelling inbetween destinations. Any help and advice will be greatly appreciated. Thanks!
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my favourite spots:
*the olgas (near alice springs)
*kakadu (near Darwin)
*rainforest up near Cairns
*blue mountains (near sydney)