Linguine with Frenched Green Beans and Parsley Pesto

Name: Linguine with Frenched Green Beans and Parsley Pesto
Ingredients: 8 ounces fresh green beans, trimmed and cut into very thin strips (about 3 cups); 8 ounces uncooked linguine; 2 cups loosely packed fresh flat-leaf parsley leaves; 10 large fresh basil leaves; 1/2 cup light-tasting olive oil or extra-virgin olive oil; 1 small garlic clove, trimmed; 1/2 teaspoon fine sea salt, plus more for salting water; 1/8 teaspoon cayenne pepper, or to taste; 2 ounces pecorino Romano cheese, grated (about 1/2 cup), plus more for serving