You can use the University as your ISP. Check the DialUp page for more details.
If you live in University-run accommodation that has a built-in network connection, you can also connect to ResNet, the University's residential network. For a small(ish) fee, currently £70 per year, you get an always-on connection into the campus network. Note that this is only a limited service; you get full web and email access, but other services such as chat, filesharing or multimedia streaming may be limited.
Whenever you connect to the campus network you're also bound by the University's rules and regulations, so don't do anything naughty - someone may be watching!