Combine olive oil, 1/4 teaspoon kosher salt, black pepper, Broccolini, and minced garlic on a baking sheet. Bake at 425° for 15 minutes. Cook pasta according to package directions. Drain in a colander over a bowl, reserving 1/4 cup cooking liquid. Place cooking liquid, almonds, parsley, half-and-half, lemon juice, 1/2 teaspoon kosher salt, and broiled bell peppers in a food processor; process until smooth. Add sauce to pasta; toss. Top pasta with Broccolini and Parmesan cheese.