No, the telcoms infrastructure is privately owned in Australia, mainly telstra, with crap HFC from Optus. I'd like to saw we have 3rd world broadband with 1st world pricing, but in reality a lot of third world countries have much better broadband and our picing is some of the most expensive in the world.
You might be thinking of our energy grid, which in most states is publically owned, with private companies reselling it. Thats been a resounduing success with record profits for the shareholders and power bills increasing by 200% in several years.
Tasmania is notable in that it is the only state where power bills have gone down, after it started depriviastising its power generation.