Preheat the grill to 400ºF and lay a large piece of tin foil or a grilling basket over direct heat. Drizzle olive oil over the foil or in the basket.
Add the broccoli to a large mixing bowl and add olive oil, salt, and pepper. Massage the oil and spices into the broccoli.
Transfer the broccoli onto the tin foil on the grill. Or, place it into a grill basket.
Spread the broccoli out evenly and grill for 5 minutes, toss, and grill for another 5 minutes or until the broccoli begins to char. Remove from the grill and enjoy.