Well the Galileo doesn't have a VGA interface so, this wouldn't be possible without an extra device like a USB-to-VGA adapter. Even if you use one of this adapter it's prettly much sure that you'd have to make kernel modifications in order to add a module that enables the detection of the screen that you want to use. This might be possible, but it could take a lot of work to enable it.
I understand the work involved
Bharath Bhushan H