Heat oven to 400°F. Cook gnocchi as directed on package, omitting salt.
Meanwhile, melt butter in large nonstick skillet over medium heat. Add garlic; cook and stir 3 minutes. Add cream; mix well. Gradually add 1 cup of the cheese, stirring after each addition until melted.
Add ham, broccoli in sauce, mushrooms and cooked gnocchi; mix well. Spoon into ungreased 9-inch square (1 1/2-quart) glass baking dish. In small bowl, combine bread crumbs and remaining 1/2 cup cheese; mix well. Sprinkle over casserole.
Bake at 400°F. for 30 minutes or until golden brown. Cool 5 minutes before serving.