AT&T UVerse Residential Gateway (RG)

I just got my WD Live  and I am trying to hook it up to my RG which is in the living room. My computer actually connects wirelessly in another room to it. It there any way I can hardwire the WD Live to one of the ethernet ports in the back of my RG and let it see my files on my computer?

That’s the way it’s supposed to work.