The manufacturer, Asix, is nice enough to provide Linux drivers on their website. The drivers are, apparently, built-in if one runs Kernel 3.8 or higher. If you're running Ubuntu 12.04, like me, then you currently have Kernel 3.5.
In case you prefer to add a PPA and load the driver from there, here you go.
To summarize: If you run Kernel 3.8 or higher, it's plug and play. If you run something lower, then use the driver from the Asix website or type this into the terminal:
sudo apt-add-repository ppa:qji/ax88179 sudo apt-get update sudo apt-get install ax88179