In a small mixing bowl, whisk together the soy sauce, honey, cornstarch, sesame oil, and black pepper until smooth. Set aside.
Slice the beef thinly against the grain. Rinse broccoli and cut into bite-sized florets. Mince garlic finely.
Heat vegetable oil in a skillet or wok over medium-high heat. Add beef slices in a single layer and sear 2 minutes per side until browned but not fully cooked. Remove and set aside.
In the same pan, add minced garlic and stir 30 seconds until fragrant. Add broccoli florets and stir-fry 3 to 4 minutes until bright green and tender-crisp.
Return beef to the pan with broccoli. Pour sauce over and toss to coat. Simmer 2 to 3 minutes until sauce thickens and beef is cooked through.
Serve hot over cooked rice. Optionally, garnish with toasted sesame seeds or sliced green onions.
