Based on the details provided in your question I'm making the assumption the computer at the university that you can remote desktop to is using Windows, furthermore according to the details your user is not an administrator or in the administrators group of that computer. Therefore, it will not allow you to turn on the connection services needed to use the built-in Windows VPN.
You comment that the services are "blocked" when you try to use software based VPN services. By blocked, if you mean you cannot install the software because your computer user doesn't have the appropriate permissions on the computer you are remotely connecting to, then there is no possible way to use the internet connection without simply using the web browser on the computer itself.
Otherwise, if you mean the network blocks the various port numbers used, you can simply specify an alternative port in third-party (not built-in Windows) VPN server you install. A good alternative VPN server is OpenVPN, it is free and open source. http://openvpn.net/
Note that all network activity through that computer can still be tracked by network administrators, so I would encourage you to follow the same rules and guidelines outlined in your Network Use Policy or Acceptable Network Use policy to be sure you are following them and acting within not only the rules of the University but local laws as well.
I used to work in IT in two different universities, I will admit some students and staff alike had interesting scenarios for using different remote connection types. Our network staff would not unblock any of the ports they chose to block because of various viruses that use some of those ports primarily, but it was acceptable to run the services that generally use those default ports and just change the ports from the default selections.