Seems that the Oz government has found a nice source of revenue. Not that they weren't entitled to the money before (all transactions should be taxed, even internet ones), but that it was easy to hide these transactions on the Web.
This is not about how much they buyer actually pays. Even if the price is advertised as including GST, if the product is sold to someone overseas they will pay the price excluding GST. What the article is saying is that as Australian buyer the price you see should be the amount you are going to hand over to the seller.
If you have Seller A who is registered for GST and seller B who is not, and they are both selling similar products, then the advertised price from Seller A should include the GST and the advertised price from Seller B should not. This means the Australian buyer can compare the prices. If Seller A did not include the GST and the buyer did not realise that, then the buyer might end up buying Seller A's product instead of Seller B's but end up paying more.
Normally GST is included in advertised prices when it is applicable, no matter where it is seen, in Australia.