1. Make the Sauce: Start by whisking together the honey, soy sauce, minced garlic, ginger, rice vinegar, and sesame oil in a small bowl. Set this flavorful sauce aside while you prepare the rest of the dish.

2. Prep the Chicken: Pat the chicken pieces dry with paper towels and season them with salt, pepper, and cornstarch. Toss the chicken to ensure the cornstarch coats it evenly.

3. Cook the Broccoli: Heat 1 tablespoon of olive oil in a large skillet over medium-high heat. Add the broccoli florets and sauté for 3 to 4 minutes, or until the broccoli is bright green and slightly tender. Season with salt and pepper, then remove the broccoli from the pan and set it aside.

4. Cook the Chicken: Add the remaining olive oil to the same pan. Arrange the chicken in a single layer and cook for 4 to 5 minutes per side, or until the chicken is golden brown and cooked through. Once the chicken is nearly done, add the minced garlic and stir for 30 seconds, allowing the garlic to become fragrant.

5. Add the Sauce: Pour the honey garlic sauce over the chicken and stir in the cornstarch slurry. Let the sauce simmer for 2 to 3 minutes, stirring occasionally, until it thickens and becomes glossy.

6. Combine and Serve: Return the sautéed broccoli to the pan and toss everything together until the chicken and broccoli are well coated in the delicious honey garlic sauce. Garnish the dish with sesame seeds and sliced green onions. Serve hot over steamed white or brown rice.