Preheat the oven to 425 degrees and line a large sheet pan with parchment paper.
In a bowl, stir together the honey, minced garlic, soy sauce, olive oil, salt, and pepper until smooth.
Place the chicken thighs on the sheet pan and brush them with half the honey garlic sauce.
Add the broccoli florets around the chicken and drizzle the remaining sauce over the broccoli.
Bake for 20 to 25 minutes until the chicken reaches 165 degrees and the broccoli edges begin to brown.
Remove the pan from the oven and let the chicken rest for 3 minutes before slicing.
Divide the cooked rice among four plates, top with sliced chicken and broccoli, and sprinkle with sesame seeds.