Cook the brown rice according to package instructions or use pre-cooked rice.
Thinly slice the flank steak against the grain into bite-sized strips.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat.
Add the beef strips to the pan and season with sea salt and black pepper.
Sear the beef until browned, about 3-4 minutes, then remove from the pan and set aside.
In the same pan, add the broccoli florets and a splash of water, covering for 2 minutes to steam-sauté until tender-crisp.
Stir in the minced garlic and grated ginger, cooking for 30 seconds until fragrant.
Return the beef to the pan and pour in the coconut aminos, tossing everything to coat evenly.
Serve the stir-fry over the warm brown rice and garnish with toasted sesame seeds.