Cook the rice according to package directions. Set aside.
Steam or thaw chopped fresh broccoli and set aside.
Add the processed cheese cubes and cook, stirring constantly, until melted. Stir in the steamed or thawed broccoli and rice until combined.
Transfer the broccoli mixture to a 2-quart baking dish. Bake the casserole for 60 minutes at 350 degrees F.