Preheat oven to 350° . Butter four 8-ounce ramekins (or a 9-inch pie dish); set aside. Bring a medium pot of salted water to a boil. Add broccoli; cook 1 minutes. Drain well; transfer to a cutting board, and blot dry with paper towels. Chop coarsely.
In a large bowl, whisk together eggs, half-and-half, 1/2 teaspoon salt, pepper, and nutmeg. Stir in broccoli and cheese.
Place ramekins on a rimmed baking sheet. Ladle broccoli mixture into ramekins, dividing evenly. Bake until golden brown, 35 to 40 minutes. Serve with crusty bread and a mixed-green salad, if desired.