Cook the brown rice according to package directions and set it aside.
Heat the olive oil in a large skillet over medium-high heat.
Add the sliced beef and cook for 3 to 4 minutes until browned but still tender. Remove the beef to a plate.
Add the garlic and ginger to the same skillet and stir for 30 seconds.
Add the broccoli florets and water. Cover and steam for 3 minutes until the broccoli is bright green and crisp-tender.
Return the beef to the skillet. Stir in the soy sauce and cook for 1 minute to combine.
Divide the cooked brown rice among four bowls. Top each bowl with the beef and broccoli mixture.
Sprinkle the green onions and sesame seeds over each serving.