Thinly slice the flank steak against the grain into bite-sized strips.
In a medium bowl, whisk together the coconut aminos, sesame oil, grated ginger, minced garlic, and grated pear to create the marinade.
Toss the beef strips in the marinade and season with sea salt and black pepper; let it marinate for at least 15 minutes.
While the beef marinates, steam the broccoli florets over boiling water for 4-5 minutes until tender-crisp.
Heat a large cast-iron skillet over medium-high heat until very hot.
Add the beef to the skillet in a single layer, working in batches if necessary to avoid crowding.
Sear the beef for 2-3 minutes without moving it to develop a caramelized crust, then flip and cook for another 1-2 minutes.
Serve the caramelized beef over the warm brown rice with the steamed broccoli on the side.
Garnish the dish with sesame seeds and thinly sliced green onions before serving.