Reboot the computer and "Connect" to the wireless network. When it shows as Connected, open a Command Prompt window ("start > Run", type CMD and click OK) and, at the prompt, type...
...and press Enter. This will show details of all network adapters in the PC. Check to see what IP address the wireless adapter has.
If "Connected" properly, it should probably have a 192.168.x.x address with Subnet Mask 255.255.255.0
If it hasn't Connected, it may have a 169.254.x.x address, which won't connect to the router or the internet.