In a saucepan, bring chicken broth to a boil. Set aside and keep warm.
Add olive oil to a large sauté pan and sauté onion over medium heat for a few minutes until soft.
Add rice, stirring constantly for about 2 minutes.
Add 3/4 cup broth at a time, stirring until each addition is absorbed, up to 4 1/2 cups.
Add broccoli and 1/2 cup broth at a time, stirring until each addition is absorbed.
Add parmesan cheese and season with salt and pepper.