hmmm, you should already have a modem for the aol broadband. Your laptop has a integrated wireless network card. You bought a wireless router.
You should be able to plug the network cable coming out of the modem into the wireless router; this cable should already connected to your pc that has inet access. Next, you must connect your laptop to the router. If your running xp, you may see a icon in your systray that looks like two comp monitors with radio waves coming out of it; it should have a red X also. Double click it, i think it'll bring up a wizard to find your wireless network. Click search for wireless networks; .... and pray. If one shows up, select it then click connect. You may have inet access at this point. If not then your router needs to be configured to access your AOL account.