I'll take a shot at it...
The first thing is to ask you neighbor if at anytime he has configured the router by login in via the instrcutions that came with it. There is usually an IP address provided to connect to the router via your browser, it will then ask for an ID and PW. It is sometimes defaulted to ADMIN & PASSWORD respectively, but the instructions should tell you what each are (unless he already went in and changed the router password!).
If he did go in and configure (doesn't sound like he did), then he could've changed the SSID (or the name of the network router) and set up WEP or WPA encryption (this is where the network keys comes in). If he did not change anything, then the SSID should be defaulted to the manufacturer name, like NETGEAR or LINKSYS. If WEP or WPA was set up, then within the router config program, it should show those network keys to access his network...they can be different lengths depending on WEP or WPA, and if 64 or 128-bit encryption was used (they are automatically generated by typing in a phrase). These you will use to log into his network the first time. After that, it should not be needed (I don't think...none of mine needed again after first attempt), but keep on hand in case the router is reconfigured or reset (though he may have to generate new keys).
If as suggested in another post, you right-click the small wireless network icon in your system tray, and select "view wireless networks", you should see his, and maybe other networks available. Look for the SSID he named it with, or the manufacturer name. If WEP or WPA is used, then the text below should say it is a secure network, otherwise it will say it is unsecured. If his network says unsecured you can go ahead and try to connect. If secured, you will need the network key to get access once connected.
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