In a colander, rinse the rice until the water turns clear.
In a medium sauce pan add the rice and chicken broth and turn the heat to medium-high and bring to a simmer.
Turn heat down to lowest setting and place a lid on top to maintain a very low simmer for 6 minutes.
Add broccoli florets on top of the rice and do not stir. Place the lid back on top, turn heat up to keep broth at a light simmer, and cook for 9-10 more minutes until the rice and broccoli are cooked through.
Turn off heat but keep the pot on the warm burner. Stir in the cheese until melted and then stir in the ham until warmed.