Heat olive oil or your preferred vegetable oil in a large skillet, wok, or cast iron skillet over medium-high heat, then add the broccoli florets. Cook them, stirring occasionally, for about 5 minutes until they start to become tender.
Next, add the diced bell peppers, chopped spring onions, and sesame seeds to the pan. Mix everything together and let it cook for an additional 2 minutes, allowing the flavors to meld.
Season the mixture with salt and pepper to taste, then pour in the teriyaki sauce. Stir the sauce into the vegetables and allow it to come to a bubble, stirring occasionally, until it starts to thicken and caramelize, coating the veggies in a sticky glaze.
Once the sauce is sticky and the broccoli is golden, the dish is ready. Serve the sticky broccoli teriyaki over a bed of steaming coconut rice, and garnish with fresh herbs like cilantro or basil for a burst of flavor.