How to Make It
In a medium skillet or saucepan, heat the olive oil. Add the sausage and cook over moderately high heat, breaking it up with your spatula, until nicely browned, 5 to 7 minutes. Transfer to a plate.
Add the onion and leek to the pan and sauté until translucent, 5 minutes. Stir in the garlic and rice and cook until the garlic is fragrant and the rice is coated with the vegetable mixture , about 2 minutes. Stir in the cooked sausage along with the salt and chicken broth and bring to a boil.
Cover the pan, turn the heat to low and cook for 10 minutes.
Uncover and fold in the broccoli and half of the cheese. Cover and cook until the broccoli and rice are tender, 10 to 12 minutes longer. Sprinkle with the remaining cheese cover and let stand off the heat until the cheese is melted. For a crisp top, broil briefly. Serve hot.