Hi, Matt:
Your model has the Broadcom WLAN adapter according to the parts list at the link below.
http://partsurfer.hp.com/Search.aspx?SearchText=RG360UA
You do need to install the wireless assistant, or it is very possible the wireless card won't even show up in the device manager until after it is installed.
Then you can turn it on using the software.
Use this version.
Here is an updated Broadcom driver you can try. The one on your PC's support and driver page is ancient.