Rinse the jasmine rice under cold water until clear, then simmer in 0.66 cups of water until tender and fluffy.
In a small glass jar, whisk together the honey, tamari, minced garlic, and grated ginger until the glaze is emulsified.
Pat the chicken breast dry with a paper towel, cut into 1-inch cubes, and season evenly with sea salt and black pepper.
Heat the avocado oil in a large skillet over medium-high heat; sear the chicken for 5-6 minutes until a golden crust forms on all sides.
Place the broccoli florets in a steamer basket over boiling water for 3-4 minutes until they reach a vibrant green color and tender-crisp texture.
Reduce the skillet heat to low, pour in the honey-garlic mixture, and stir constantly until the sauce bubbles and coats the chicken in a thick, glossy glaze.
Assemble the bowl by layering the rice and steamed broccoli, topping with the glazed chicken, and finishing with sesame seeds, sliced green onions, and a drizzle of toasted sesame oil.