Tagliatelle with olives, rocket and caramelised lemons

Name: Tagliatelle with olives, rocket and caramelised lemons
Prep time: 10 min
Cook time: 30 min
Total time: 40 min
Cuisine: European, Italian, Mediterranean
Ingredients: 1 lemon, thinly sliced into rounds, seeds removed; 1 tablespoon olive oil; 1/2 teaspoon kosher salt; PASTA; 2 tablespoons kosher salt; 34 pound tagliatelle; 1/4 cup olive oil; 2 cloves garlic, thinly sliced; 1 teaspoon crushed red pepper flakes; 1 cup oil-cured black olives, pitted and roughly chopped; 10 ounces baby arugula; 1/4 cup grated Pecorino Romano cheese, plus more for serving; Freshly ground black pepper