Hey there, I'm Tim. Usually they give you the WIFI name and password, or you connect to the open WIFI and open, usually internet explorer because it does not work with all browsers, and accept and agree to their terms, then you can use any browser.
Can you see their WIFI network?
anychance wireless is turned off on your laptop?
probably, function key + f2
And you see no WIFI connections? In any hotel there would be several.
IS there a MCdonalds, or a coffee shop around, like across the street, to see if you can go there and see their WIFI network, just as a test? We want to see if there is a possible hardware failure with the WIFI adapter, very rare for t hem to die in a laptop, but not unheard of, it happens and you can get really cheap USB wifi cards pretty much anywhere (walmart)