Prepare the brown rice according to package instructions and set aside.
Slice the flank steak against the grain into thin, bite-sized strips and season with sea salt and black pepper.
In a small bowl, whisk together the coconut aminos, minced ginger, minced garlic, and arrowroot powder to create the stir-fry sauce.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the beef strips to the hot skillet in a single layer and sear for 2-3 minutes until browned; remove beef from the pan and set aside.
Add the broccoli florets to the same skillet with a splash of water, cover, and steam for 2 minutes until bright green and tender-crisp.
Return the beef to the skillet and pour the sauce over the mixture.
Toss everything together for 1-2 minutes until the sauce thickens and coats the beef and broccoli beautifully.
Serve the stir-fry over the cooked brown rice and garnish with toasted sesame seeds.