De Grandhomme's quickfire 71-ball 105 along with half centuries from Ross Taylor (93), Henry Nicholls (67) and Tom Bundell (57 not out) gave the hosts a mammoth 313-run first innings lead in response to the tourists' 134.
De Grandhomme struck 11 fours and three sixes to bring up the second fastest Test ton by a Kiwi batsman.
Debutant Blundell played the perfect supporting act in a 148-run seventh-wicket partnership with de Grandhomme to put the hosts in the driver's seat.
Earlier in the day, veteran Taylor and Nicholls shared a 127-run diligent stand that left the West Indies with insufficient resources to counter the lower order.
Resuming the day at 85/2, New Zealand lost the wicket of overnight opener Jeet Raval (42) before Taylor and Nicholls consolidated the innings to take it to 181/3 at the lunch break.
For the visitors, pacer Kemar Roach was the pick of the bowlers, returning with 3/73 while Miguel Cummins and Roston Chase picked two wickets each.
Shannon Gabriel and skipper Jason Holder also contributed with a scalp each.
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