Cut 1 bunch broccoli into 8 large spears and cut 2 lemons into quarters. In a large bowl, toss with 2 tablespoons olive oil; season with salt and pepper. Grill the broccoli and lemons over medium heat, turning occasionally, until tender and lightly charred, 10 to 15 minutes. Squeeze the lemons over the broccoli and drizzle with additional olive oil.