My network consists of an ubuntu laptop and an ubuntu desktop connected via a router. Now, I want to work on my laptop and see the output on the desktop screen, through the network. How do I achieve this? Thanks.
There are two ways of doing this. You can either share your entire desktop (VNC), or you can run software on the server and have them displayed on your laptop (SSH).
You will need to install a VNC server on the desktop and client on your laptop. I believe that recent versions of Ubuntu have vino (client) and vinagre (server) preinstalled. So, follow these steps on the server (source):
3, On the client, run "Remote Desktop Viewer", you should be able to see and connect to your desktop:
There are other VNC client/server combinations you can try if this one is not good enough for you. See here.
There is also a simpler way of doing this by connecting over ssh.