My mobile phone contract is with orange and part of the package is free home broadband?

You'll need an ADSL router, as your broadband will come via the telephone system, rather than via cable. I believe Orange actually supply this, although I could be mistaken. You'll also need a wireless adapter for your laptop, if it isn't already built in. USB adapters are the easiest to set up; Argos' Belkin Wireless G adapter (676/6647) at �17.99 fits the bill...