Heat the olive oil in a large skillet or wok over medium-high heat. Add the ground beef and cook, breaking it up with a spoon, until it’s browned and cooked through. This should take about 5-7 minutes. Once cooked, remove any excess grease, if necessary.

Stir in the minced garlic and grated ginger, cooking for another minute until fragrant. This step is crucial for building the depth of flavor in the dish.

Pour in the soy sauce and sprinkle the brown sugar over the beef. Stir everything together to combine, allowing the sauce to simmer and thicken for a minute or two.

Add the broccoli florets to the skillet. Pour in the water, cover the skillet with a lid, and steam for about 3-5 minutes, or until the broccoli is tender but still vibrant. If you prefer your broccoli a bit softer, cook it a little longer, but keep an eye on it to avoid overcooking.

Season the dish with salt and pepper to taste. If you're using sesame oil, drizzle it over the finished dish for a lovely toasted flavor. Stir everything together to make sure the beef and broccoli are evenly coated in the sauce.

Serve your delicious ground beef and broccoli over a bed of steamed rice. The rice helps soak up all the savory sauce, making each bite satisfying and flavorful.