Slice the flank steak against the grain into thin strips and season evenly with sea salt and black pepper.
In a small glass bowl, whisk together the tamari, toasted sesame oil, honey, minced fresh ginger, and minced garlic to create the glaze.
Heat a large stainless steel skillet or wok over medium-high heat and add the beef strips in a single layer.
Sear the beef for 2-3 minutes until browned and just cooked through, then remove from the pan and set aside.
Add the broccoli florets to the same pan with two tablespoons of water, cover with a lid, and steam for 2 minutes until tender-crisp.
Return the beef to the pan, pour the sesame glaze over the mixture, and toss for 1 minute until the sauce thickens and coats every piece.
Transfer to a plate and garnish with sesame seeds before serving hot.