I'm using crouton which enables me to run 14.04 on my Chromebook. I opted to not install a desktop to save disk space so used the cli-extra target when installing:
sudo sh ~/Downloads/crouton -r trusty -t cli-extra -n cli
I can now run sudo enter-chroot from my Chrome OS shell.
My question
Is it possible to launch graphical programs such as gedit? When I use LXDE on another system, I can run gksudo gedit to launch the program but this command isn't recognised in this case. Also, running sudo gedit results in the message "Cannot open display:".