It is a fully-featured terminal environment, not BusyBox. You can install
LXDE in this way:
$ sudo apt-get install lxde
However, you may instead want the whole Trisquel Mini experience (based on
LXDE):
$ sudo apt-get install trisquel-mini trisquel-mini-recommended
Or you can only install the base of Trisquel Mini, which includes LXDE, and
later choose by yourself the user applications (the Web browser, the office
suite, the email client, the PDF viewer, the instant messenger, etc.):
$ sudo apt-get install trisquel-mini