Fill a large pot with water. Salt to taste. Bring to a boil.
In a food processor, mince garlic. Add toasted pine nuts and 1 cup of arugula. Pulse machine until arugula has broken down. Continue to add arugula in batches until finely minced. Add grated parmesan cheese.
With the food processor running, add the olive oil in a steady, slow stream. Scrape down bowl as needed to ensure even mixture. Add lemon juice. Season with salt and pepper. Continue to process until mixture is smooth
Cook fusilli in the boiling salted water according to package directions. Before draining pasta, reserve 1 cup of pasta water.
In a large saute pan, toss the cooked pasta with arugula pesto. Add grated parmesan cheese. Add enough of the reserved pasta water to thin out pesto into a nice cream sauce. Toss until combined. Season with black pepper, to taste. Divide pasta into servings. Top with chopped sun-dried tomatoes and shaved pecorino romano cheese.