Pat the chicken breast dry and cut into bite-sized cubes, then season evenly with sea salt and black pepper.
Heat the extra virgin olive oil in a large skillet over medium-high heat until shimmering.
Add the chicken cubes to the skillet and sear until they are golden brown and cooked through, which should take about 6 to 8 minutes.
Remove the cooked chicken from the skillet and set it aside on a clean plate.
In the same skillet, add the broccoli florets along with two tablespoons of water; immediately cover with a lid to steam for 3 minutes until vibrant green.
Remove the lid and push the broccoli to the side, then add the minced garlic and grated fresh ginger to the center, sautéing for 1 minute until fragrant.
Return the chicken to the skillet and pour in the coconut aminos and toasted sesame oil.
Toss all the ingredients together for 1 to 2 minutes until the sauce has slightly thickened and everything is thoroughly glazed.
Place the warm cooked brown rice into a bowl and top it with the chicken and broccoli mixture.
Garnish the bowl with sesame seeds and serve immediately.