1In a medium saucepan, melt the butter over medium heat.
Add the white rice and stir to coat with the melted butter.
Pour in the vegetable broth and bring to a boil.
Reduce the heat to low, cover, and simmer for 15-20 minutes, or until the rice is tender and the liquid is absorbed.
While the rice is cooking, steam the broccoli florets until they are tender, about 5-7 minutes.
Once the rice is cooked, stir in the steamed broccoli, shredded cheddar cheese, milk, salt, and black pepper.
Continue to cook over low heat, stirring frequently, until the cheese is melted and the mixture is creamy.
Serve hot and enjoy your Cheesy Broccoli Rice.