by Michael Ambrose » Wed Jan 04, 2012 8:46 am 
			
			DEFINITELY not a Gibson.
That there is a mid-50's Kay, something like a model K18 or K24.  Its missing the headstock emblem and pickguard, and it appears as though the bridge has been screwed or bolted through the top.  (Not so good in terms of resale.)
I, personally, would not restore it, especially if you're planning on selling it.  You'll spend more for a full-on restoration than you'll make in a sale.  
Besides, that piece looks like its got 60 or so years of your grandfather's soul banged and scratched into it, and from my perspective, that's something you should never buff out or cover up haha...
I would, however, have that bridge re-glued, especially if you yourself are a player.  These old Kays are rock-solid guitars with a great tone.  I should know, I own a number of them.  Fix the bridge, have the frets dressed, and lubricate the tuners, and you'll have one solid axe.