Preheat oven to 400ºF (200ºC) fan-forced. Line a baking sheet with parchment paper.
Once pastry has thawed, place it on the baking sheet.
Lightly prick the pastry with a fork, leaving a 1-inch border where you do not prick it, this allows the edges to puff up.
Brush the entire pastry with 1/2 tablespoon of olive oil.
Working within the 1-inch border, evenly sprinkle over half of the shredded cheese (1/4 cup worth). The remaining half will be added later with the broccolini.
Cut the potatoes by slicing both very thinly, use a mandolin if you have one.
Place sliced potato in a medium-sized mixing bowl.
Pour in 1 tablespoon of olive oil along with the chopped rosemary, minced garlic and season with salt and pepper. Toss potatoes until well coated.
Arrange potatoes evenly over the cheese, you will have multiple layers of potatoes.
Bake for 20-25 minutes until potatoes are just turning tender then remove from the oven.
Scatter over the broccolini florets and the remaining cheese. Drizzle the remaining 1/2 tablespoon of olive oil over the top.
Return to the oven to bake for a further 15-25 minutes or until potatoes are cooked through, broccolini is fork tender and pastry is puffed and golden.
Remove from the oven and serve immediately. Enjoy!