Actually, what you are implying is that all the systems in the college are connected to a LAN. Your browser connects to the internet through a proxy server on the lan. You can confirm it from your browser's proxy settings. So the first point is that you are all on the LAN. The next step would be, as shashank has so kindly pointed out, to enable file and print sharing on both systems. The next step would be to make both the systems on the same workgroup. Just do it temporarily if a workgroup is not already set to something like 'testing' or something. The other system should now show in thye network neighborhood. Oh and don't forget to set back the systems to their previous settings when you are done.
If you have any queries in any particular points above, just post a reply.