if you have broadband, you'll find that you probably connect your cable/ADSL modem to your pc with something that looks like a phone line, but a bit thicker. (RJ45 cable)
your laptop will come with a port to use that connection if you like, just unplug it from your PC and put into laptop. you may need to turn off your modem for a while though, in case it remembers what computer it's been plugged into.
if you want to use your laptop wirelessly, you'll have to buy a wireless router. these come in two forms: cable router and ADSL router. what you want depends on what broadband type you'll be getting at uni, if you want to use it wirelessly there.