You are not going to see the , lets call it the WE, because you don't have a wireless card in your pc. Your router is not set to bridge mode and you dont want it to be from what I gather. I'm assuming from what you say that your pc is connected by a network cable to a wireless router which is connected to the internet.
If that is correct then to install the WE set it near your router, give it power, and turn it on. Let it boot up (usually takes a few minutes)
With your computer off unplug your computer network cable from the back of the router and plug it into one of the ones on the WE.
Boot up your computer and it should find a new network. let it run thru its configuration and then open a browser and go to WWW.MYWIFIEXT.NET
Log...