Step 1

In a medium-sized saucepan with a lid, heat the oil over medium heat. Add the onion and sauté until tender and golden, about 4 minutes. Add the rice and stir until it is well mixed with the onions and the rice itself is glistening and somewhat translucent, about 2 minutes.

Step 2

Add the broth and salt, stir well, cover, and bring to a simmer over high heat. Lower the heat to medium-low and simmer gently, covered, until most of the liquid has been absorbed, about 15 minutes.

Step 3

Stir in the chopped broccoli and cover again. Simmer until the rice is cooked and the broccoli is crisp-tender, about 5 minutes. Remove from the heat and let sit, covered, for 3 minutes. Stir in the cheese, butter, and pepper, and taste to see if it needs salt. Serve hot, passing hot sauce on the side for those who want it.