Preheat the oven to 350°F.
With a bread knife, cut 1-inch slices width-wise in the loaf. Make sure not to cut through to the bottom of the loaf! Stop cutting when you're about 1 inch to the bottom. Repeat the 1-inch cuts in the opposite direction.
Once the bread is cut, shred the Monterey Jack cheese and stuff it into every nook and cranny in the bread cuts. Make sure to get it everywhere so that the bread is cheesy throughout!
Tent foil over bread and place on a baking sheet. Bake at 350°F for 15 minutes. Remove foil and bake a additional 10 minutes, until cheese is melted. Garnish with green onions.