I am no windows expert. But there are two ways.
When you are connected you should have two little computer screens on the bar near the time. Click on them. You should see a screen with the computers IP address (it might be on the tab behind the first one) and a button that says details... click on details and copy the two addresses under DNS.
If that doesn't work or you can't seem to find it. Open a command prompt.
To do that, click on start, then click on run. Type CMD and hit enter. When you are at the prompt type `nslookup` without the `s. You will be given the ip of your primary domain name server. This method only gives you one ip -- which is all you need for the most part, the second is backup.
If you can only get one IP just put one line in /etc/resolv.conf