Bring a medium size pot full of water to a boil. Add the broccoli florets to the boiling water and cook until the broccoli is tender, but still crunchy (this should only take a few minutes).
Add all the ingredients, including the cooked broccoli, into a food processor. Puree until all the ingredients are completely blended into a pesto-like consistency.
Add salt and pepper to taste.
Notes
For vegan parmesan cheese, I use both Violife or Follow Your Heart brands