In a bowl, combine 1 tablespoon of olive oil, minced garlic, soy sauce, honey, sesame oil, salt, and pepper. Add the chicken breasts and ensure they are well coated in the marinade. Let them marinate for at least 30 minutes (or up to 2 hours in the refrigerator for more flavor).
While the chicken is marinating, bring a pot of water to a boil. Add the broccoli florets and blanch for 2-3 minutes until bright green and slightly tender. Drain and immediately place them in ice water to stop the cooking process.
Preheat a grill or grill pan over medium-high heat. Remove the chicken from the marinade and discard the leftover marinade. Grill the chicken for about 6-7 minutes on each side, or until fully cooked (internal temperature should reach 165°F). Let the chicken rest for 5 minutes, then slice it into strips.
In a skillet over medium heat, add the remaining 2 tablespoons of olive oil. Once hot, add the blanched broccoli and sauté for about 3-4 minutes until heated through and slightly crispy. Season with salt and pepper to taste.
Divide the cooked brown rice or quinoa among bowls. Top with sautéed broccoli and sliced grilled chicken. Drizzle with additional garlic sauce or olive oil if desired.
Finish the bowls by sprinkling sesame seeds and fresh cilantro or green onions on top for added flavor and presentation.
Notes
For extra flavor, marinate the chicken for up to 2 hours.