Put the rice, milk, coconut oil, and seasonings into a large saucepan. Heat over medium low heat, stirring occasionally to prevent scorching, about 15 minutes.

When mixture starts to thicken, add sugar and continue cooking until bubbles (or air pockets) start to form, about 5 minutes.

Turn heat down to low and add in cheese, stirring until incorporated and thickened to rice pudding consistency (5 mins).

Turn off heat and add cooked broccoli, stirring gently to incorporate. Season with salt and pepper as desired.

Serve immediately with your favorite protein.