Comment 1 for bug 953411

Hi joubuntu. We have just discussed this in the LinuxMint LXDE web site.
The live disk you mention is not running quite right on some machines, yours and mine for instance, because lxdm, the Desktop manager process, is being stopped just before you see the terminal. It may be crashing, or being stopped by the disk startup program, (who knows ?) but I'm sure they'll fix it soon.

In the meantime, you can probably re-start the Desktop from the terminal, because it will have checked over your machine and be ready to go. You have to be the "root" user to do the command, but the Live Disk will let you run "sudo" to do this, because you haven't installed your system yet.

So, at the terminal prompt, which looks like this
     mint@mint ~$

just type

   sudo lxdm

then press Enter

For me, that brought up the complete lxde desktop, with the Network menu button at the bottom of the screen to allow you to connect to WiFi if you don't have a wired connection, and the "Install" button to click once you are connected.
Good luck: I hope this also works for you.
john