In a large skillet, heat the sesame oil over medium heat. Add the minced garlic and grated ginger, sautéing for about 1 minute until fragrant.
Increase the heat to medium-high, then add the ground turkey to the skillet. Cook, breaking it apart with a spatula, until fully cooked, about 7-10 minutes. Season with salt and pepper.
Add the broccoli florets and diced bell pepper to the skillet. Cook for an additional 3-4 minutes, stirring occasionally until the vegetables are tender yet crisp.
Pour in the teriyaki sauce and soy sauce, stirring well to combine. Allow it to simmer for about 2 minutes, making sure the turkey and vegetables are evenly coated in the sauce.
In serving bowls, layer the cooked rice at the bottom, followed by the turkey and vegetable mixture on top.
Finish by sprinkling chopped green onions and sesame seeds over the top for additional flavor and crunch.