Cheesy Baked Shells & Broccoli

5 c. medium pasta shells
1 Tbsp. butter
2 Tbsp. all-purpose flour
2 c. whole milk
2 c. coarsely grated Cheddar or Gruyere cheese
1/8 tsp. ground nutmeg
Kosher salt and pepper
1 (16 oz.) bag frozen broccoli florets, thawed

Heat broiler. Cook pasta according to pkg. directions. Heat butter in large pot over medium heat. Add flour and cook, stirring, for two minutes. Whisk in milk and cook, stirring occasionally, until slightly thickened, four – five minutes. Add 1 1/2 cup of cheese and stir until melted. Stir in nutmeg, 3/4 tsp. salt and 1/4 teaspoon pepper. Add pasta and broccoli and toss to combine. Transfer to broilerproof 8-inch square or 1 1/2-quart baking dish. Sprinkle with remaining 1/2 cup cheese. Broil until golden three – four minutes. Serves four.