Add kale to the bottom of a baking dish. Make sure to completely cover the bottom and sides of the dish. You can use a 9x9 baking dish or a 10-inch round pie dish.
In a medium-sized pan, melt butter over medium heat. Add garlic and broccoli, stirring occasionally, for 5 minutes or until broccoli is a bright green and garlic is browned.
Add the broccoli mixture on top of the kale in baking dish. Sprinkle cheese on top of broccoli.
In a small bowl beat the eggs. Add milk, salt and pepper and stir.
Pour the egg mixture on top of the shredded cheese in baking dish.
Bake for 40 minutes or until cheese is lightly browned and bubbly. Allow to cool and serve.