Gov-lock test: jack rear end off the ground, rotate one tire, note direction of other. Opposite/no revolution of opposite tire, it's not locked up. Good.
Next test, rotate same tire QUICKLY by hand and the other axle should lock in, and you'll know it.
As to lube, I'm too lazy to go search, but I *think* GM spec's GL-5, which already has some friction modifiers in it AFAIK. None called for that I've seen in manuals. It would NOT be surprising if the lube specs have changed since the introduction of the gov-lock.