Remote Access/Single Command
If you know the final destination you can combine two sequential ssh commands into one single command by simple put them together in one line. The only required "trick" is the -t parameter. Without this the second hop "hangs" around without a connected tty-Terminal - no output/input is possible even though the connection is established.
Verbatim terminal copy-n-paste (just eliminated some text):
~$ ssh -t gtest2@login.stud ssh -t c034.cip.loc ####### ####### login.stud.informatik.uni-goettingen.de ... ## Bitte auf einem der c0xx PC 'weiterhangeln' um zu arbeiten. ## ####### gtest2@login.stud's password: Welcome to Ubuntu 14.04.3 LTS (GNU/Linux 3.13.0-68-generic x86_64) * Documentation: https://help.ubuntu.com/ Last login: Wed Nov 25 16:07:41 2015 from login.cip.loc gtest2@c034:~$
Exactly the same is possible with PuTTY - you just have to define a specific command in the configuration dialog.
GUI applications
For Linux this will also forward "X" - every installed graphical software will run on c034 (in this example) and the graphical representation is displayed on the local machine.
To accomplish this on Windows you need an installed X-Server (e.g. Xming) of course.