Controlling a Google TV remotely via SSH
Apps must be coded specifically to allow for installation on Google TV devices.  In 3.2 update, Google even disabled side-loading of apps, so the old trick from 2.x days to install APKs via a dropbox account won't work.

Modders from GTVhacker site managed to find an exploit in Sony units that allows for installing a custom kernel and a rooted build of 3.2.  With that build it's possible to enable side-loading of apps, and then you can install them via ADB:

adb connect 192.168.1.XXX:5555
adb install C:\path\to\apk\AppName.apk


Where "XXX" is the IP address of your GTV box/TV.

Keep in mind that the usual warnings of rooting apply, such as voiding the warranty, etc.