Hi Moderith--
Welcome to the Apple Discussions.
Look in your Utilities folder for the Network Utility program. Open it, and choose "Port Scan" from the row of tabs in its window. If you're not running Network Utility on the problematic G4, use the G4's IP address. But if you're actually on the G4, use "localhost".
Note that if you check the open ports on the G4 from another computer, you won't see as many as if you check it from the G4 itself. That's because some ports are only local. For example, I have enabled the mail server on my Macs, but only to deliver mail, not relay it. So if I do a port scan using "localhost", I see port 25 open, but it's not open from another computer.
charlie