What do you mean by "recognize the network?"
Some quick network setup basics...
Both computers should have a recognizable machine name, example "computer1", "computer2", or "Tom" and "Bob".
Both should be in the same workgroup. These settings are in the System settings found by right-clicking My Computer and clicking Properties.
Also, to make life easier, set both for Simple file sharing. Open My Computer. Click Tools, Folder Options. Click View and "Use Simple File Sharing" at the bottom to enable it. This is on the XP computer. I don't think Vista has a similar option. Also, in XP, you will need to make sure that file and printer sharing is enabled. The easiest way is to right-click a folder and try to share it. If sharing is not enabled, windows will ask you to enable it. Once all of this is done, you should be able to click start, run and //computer1 from computer2 or whatever you named them and it should bring up the list of shared printers and folders