Mediterranean Broccoli & Cheese Omelet

Preheat broiler. In a large saucepan, place steamer basket over 1 in. of water. Place broccoli in basket. Bring water to a boil. Reduce heat to a simmer; steam, covered, until crisp-tender, 4-6 minutes., In a large bowl, whisk eggs, milk, salt and pepper. Stir in cooked broccoli, grated cheese and olives. In a large cast-iron or other ovenproof skillet, heat oil over medium heat; pour in egg mixture. Cook, uncovered, until eggs are nearly set, 4-6 minutes., Broil 3-4 in. from heat until eggs are completely set, 2-4 minutes. Let stand 5 minutes. Cut into wedges. Sprinkle with shaved cheese and parsley.