CHAdeMO is just the plug type and charging protocols. The cost depends on the owner of the CHAdeMO charger.
The QLD Electric Super Highway is owned by the QLD government.
Queensland's Electric Super Highway | Transport and motoring | Queensland Government
In NSW the local motoring association NRMA is rolling them out and they are currently free.
In Victoria it’s ChargeFox and whilst initially free, I would install the ChargeFox app on your phone and create an account.
Model S and X need a CHAdeMO adapter to use this type of charge plug but Model 3 so far are not compatible and it’s not guaranteed that they ever will be. Most if not all non Tesla quick chargers in Australia will have dual plugs, CHAdeMO and CCS2 and it’s understood that Australian Model 3’s will have CCS2 ports natively so will be able to use that plug on other networks without an adapter.