In the post on including Bus Rapid Transit (BRT) on rapid transit maps, I showed a bit of Brisbane's rapid transit map, which includes the busway but not its branches, since the branches aren't rapid.
(Actually, to be quite fair, it's really a rail + rapid transit map, as it includes rail lines that do not rise to 15-minute frequencies all day.)
To complement that map, here's Brent Palmer's latest draft of a frequent network map for Brisbane. For a fully legible version, see his blog here. (Click on the small map there for the big one, then click again to zoom in so you can read it. Despite the photo of Seattle on his banner, his blog seems pretty dedicated to Brisbane.)
This should give you a sense of both the extent of Brisbane's frequent network and the way the network functions through the busway. The busway is the band of routes extending southeast to Eight Mile Plains and north to "RBWH" (Royal Brisbane Women's Hospital).
In the lower left of the map, the bridge across the river into the University of Queensland ("UQ Lakes") is Brisbane's first green bridge, a bridge for transit, bicycles, and pedestrians only. The most distinctive feature of Brisbane's inner city geography is the winding river with the remarkable shortage of bridges. This bridge allows transit to serve a trip that would be much, much more circuitous for a motorist, as there are no other car-capable bridges anywhere nearby.
Graphic: Brent Palmer