said by eschamp:How does a person on that network access "my information"?
If the network is not encrypted (typical of hotels), then they can just capture packets. However, the chances are that there isn't much in those packets that would worry you. Your important connections, such as to banking sites, should be using ssl encryption.
If your computer has setup file sharing, then perhaps they can see files on your computer. Personally, I do not do any file sharing on a laptop. That is, I can see files from my desktop, but my desktop cannot see files on my laptop.
Even that should not be a risk if you are careful. Recent windows versions will ask if the network is home or public, and only share on the home network. As long as you do not make the mistake of declaring the hotel network to be a home network, you are probably okay.
There is a risk of somebody setting up a trojan DNS server. I have not seen this happen at hotel sites, though I haven't used them that often.
If you exercise reasonable caution, and pay attention to security warnings (such as certificate problems), the risk is pretty small for most people.