Even if you get the IP it still won't help you much outside of letting you know the jack is good because the IP that the computer gets won't be the same as what the printer gets. And you will still need to logon to the printer server and change or add the new port for the printer. And you should really get the printer a static IP because if the IP ever changes, printing won't work until you find out the new IP and change the print server again.
IT is probably not where you'd want to cheapen out and have no support with. Basically it's like crossing your fingers and hoping the computers will just work as they are forever. You get someone that pulls on their network cord the wrong way, shorts out a jack and next thing you know you have half the floor not being able to work without anyone knowing what to do.
Get thee to some network learning books pronto! Or take a cheap adult ed evening class, may be better that way, a few weeks of a few hours a week and you'll at least be able to understand how networks and IP addresses work.