Broccoli is in fact allowed on the Paleo diet, so you will not have to worry about having to cheat in order to eat this very delicious food.
Keep in mind that there are going to be a lot of delicious dishes where you can add broccoli, such as simple salads that involve other ingredients like crunchy almonds, grapes, and crisp bacon.
By going online and looking up some ideas for broccoli-based dishes or ones that include this vegetable, you will be able to get the kind of meals you want while still following the Paleo diet to the letter.