Preheat oven to 350°.
Cut broccoli into bite-size pieces. Slice sausage lengthwise and cut again crosswise into bite-size, ½ round chunks. Toss broccoli, sausage, olives, and garlic together with olive oil to coat. Place on sheet pan in an even layer. Bake for 20 minutes or until edges of broccoli start to brown. Remove from oven and top with crumbled feta. Season with salt and pepper to taste. Serve immediately and enjoy!