In a large mixing bowl using a hand mixer, beat the pudding mix with the eggnog for 2 minutes. Gently fold in 1 cup of thawed whipped topping until just combined. Spoon the mixture into the prepared graham cracker crust.
Refrigerate for at least 4 hours.
For serving, place a dollop of the whipped topping onto a slice of the pie and sprinkle with a little bit of nutmeg.