Depends what the hotel has available.
It might be a wireless hotspot, in which case you'll need a wireless card for your laptop (PCMCIA or USB). But needs to be set up properly and several DEFINITE concerns about security.
Might just be that they have a PC that they allow guests to use (quite a few places do this). Also security concerns as there could be key-logging software installed / other spyware. So I wouldn't access any bank accounts etc.
Alternative is to use a dial-up connection. Some UK ISP's provide overseas services. Alternatively use a worldwide service - see click here