Compaq Laptop Internet woes.

[[YF] Daniel]

I have a Compaq laptop running Vista Home Premium. I cannot use it to connect to the internet with wireless. I can access any computer on my network.

This is what confuses me:
I can't resolve any domain names.
I can ping Google's direct IP, however I cannot use Firefox or Internet Explorer to connect to Google with that IP.

I have:
Rebooted my router.
Tried a different DNS.
Tried it with a wired connection.

Any ideas on what could be the culprit?