Warm olive oil in a large pot over medium heat.
Add minced garlic and cook for about 1 minute until aromatic.
Toss in the orzo, stirring to evenly coat with the oil and garlic.
Pour the chicken or vegetable broth into the pot and bring everything to a boil.
Introduce the broccoli pieces, then lower the heat to maintain a gentle simmer.
Allow the orzo and broccoli to cook, stirring now and then, for roughly 10 minutes until most liquid is absorbed and orzo is tender.
Mix in the heavy cream, grated Parmesan, salt, black pepper, and red pepper flakes.
Continue cooking for another 5 minutes until the sauce thickens and the cheese has melted smoothly.