There's really no such thing as 'Aussie' coffee, as I doubt coffee is produced in commercial quantities anywhere in Australia, although there are local roasters.
What they are referring to is coffee made by an Australia barista.
Basically, coffee culture is huge in Australia, and being a quality barista is seen as a cool kind of job to have, despite the generally low pay.
It's not unusual on a city street in Australia to have 5 or 6 coffee shops in a row. At this point, they are competing on coffee + barista quality. With this type of competition, the consumer gets well educated on the nuances between cups, and so it goes.
I had no idea this idea of 'the aussie barista' was being exported to the world, but I guess it makes sense.
In reality, what you're probably seeing is the competitive advantage given from a business cluster in Porter speak. http://en.wikipedia.org/wiki/Business_cluster
Ironically it grew out of Italian culture, mainly through immigrants to Australia. While my best coffee experience was still in Italy, generally I find coffee in other parts of the world appalling in comparison, esp in the USA.