Thinly slice the flank steak against the grain into bite-sized strips and season with sea salt and black pepper.
Mince the garlic clove and grate the fresh ginger.
Heat a large skillet or wok over medium-high heat and add the toasted sesame oil.
Add the beef strips to the hot skillet in a single layer, searing for 2-3 minutes until browned, then remove and set aside.
In the same skillet, add the broccoli florets and a splash of water, covering for 2 minutes to steam-cook until bright green and tender-crisp.
Remove the lid and add the garlic and ginger, sautéing for 30 seconds until fragrant.
Return the beef to the skillet and pour in the coconut aminos, tossing everything together for 1 minute to glaze.
Serve the beef and broccoli over the warm cooked brown rice.
Garnish with sesame seeds before serving.