Put a large pot of well-salted water onto the boil. Add to the water.
Cut the florets off the and roughly chop into very small pieces.
Peel and discard the tough skin from the broccoli stalk, then cut the remaining stalk into strips about 1cm thick. Cut the strips in half lengthways and widthways so you have roughly thumb-sized rectangles.
Once the water is boiling, tip in all the broccoli florets and stalk pieces and let them cook for 5 minutes until quite tender
Meanwhile, put a large frying pan with high sides over a low-medium heat and add . Roughly chop the . Either slightly crush the and leave whole to remove later (milder), or chop and add the whole lot (stronger). Add the garlic to the oil along with the olives, and .
Let the cook gently for 2 minutes but don't let it go brown
Add the to the broccoli cooking water and cook until al dente. Meanwhile, mash the broccoli with the back of a wooden spoon to create a creamy sauce with the oil and water. Zest the and add to the broccoli, then squeeze the juice in and turn the heat off until the pasta is cooked.
Once al dente, add the pasta to the pan with the broccoli plus a splash of pasta water. Mix well over a medium heat until the pasta is saucy and well coated. Taste and add more if needed.
Plate up and finish with a drizzle of olive oil, and an extra pinch of if you like.