Once the diff cover is off you'll be able to tell right away...you can google "GM limited slip differential" under "Images" and it'll show the different types available...a Gov-Loc has no clutches ,so it doesn't really need the posi compatible gear lube or additive,but it wont hurt to use both in any diff,open or not,other than cost you a few extra bucks..
One fast way that can be used to tell if it has a limited slip (other than a tag on the filler plug stating so),is to jack both rear wheels off the ground,spin one tire by hand,and watch the other tire--if they both revolve in the same direction,its a limited slip,if not,its probably an open diff--I say "probably" because a gov-loc wont "lock" until one tire spins faster than the other...so it might appear to be "open",but really isn't..