The first thing to do would be to install the wireless adapter and see if it is recognized. If it is already installed, as I think you indicate with results from lsusb, you could just type
iwconfig in a terminal and if it is recognized as a wireless adapter it will likely show up as eth1. If it isn’t, get back with the results of that command, maybe copy/paste the output into your response.
[Edit]: according to Linuxwireless (https://wireless.wiki.kernel.org/en/users/drivers) the chipset is supported for 802.11b/n/g on the USB bus. So, that means you should be able to just start network manager (via Settings>Network in Gnome), and set up your wireless as normal.