In a medium bowl, whisk together the olive oil, smoked paprika, garlic powder, a pinch of salt, and freshly cracked black pepper. Add the chicken breasts, ensuring they are thoroughly coated with the marinade. Cover the bowl with plastic wrap and allow it to marinate in the refrigerator for at least 30 minutes.
In a small mixing bowl, combine the low-sodium soy sauce, lemon juice, minced garlic, and honey (or maple syrup). Stir until all components are well blended. Set this garlic sauce aside.
Preheat your grill or grill pan to medium-high heat. Once hot, place the marinated chicken breasts onto the grill, cooking for about 6-8 minutes on each side until the chicken reaches an internal temperature of 165°F (75°C). After grilling, remove the chicken from the grill and allow it to rest before slicing.
While the chicken is grilling, bring a medium pot of water to a rapid boil. Add the broccoli florets and blanch them for 2-3 minutes until they are vibrant green and tender-crisp. Transfer the broccoli to a bowl filled with ice water to halt the cooking process. Once cooled, drain and set aside.
In each serving bowl, create a base of cooked quinoa or jasmine rice. On one side, layer the sliced grilled chicken, and on the other, arrange the blanched broccoli and halved cherry tomatoes.
Generously drizzle the prepared garlic sauce over the chicken and vegetables.
Sprinkle sesame seeds over the top of each bowl and serve immediately.