First of all, thanks for joining the forums!
Secondly, to answer your question...that video is filled with a couple really cool guitars.
The one you speak of is a Waterstone knockoff of a Gibson 335 style. That specific guitar was a Carnaby 6 string - finish designed by Kii Arens, who directed that video. Waterstone is a Nashville based company...and I am sure that the guitar was given to someone or Arens took it home after shooting. It is not a guitar that Glen would keep, I am guessing.
Another cool guitar in that video is Glen playing a vintage Monkeys Gretsch guitar with Micky Dolenz' signature on the pickguard. We discussed it here
The Gretsch White Falcon, with Glens name is also a very nice touch, which was also touched on, in the same thread. Very cool video, in many ways.