Spring Pea and Asparagus Penne Pasta

Name: Spring Pea and Asparagus Penne Pasta
Cuisine: European, Italian, Mediterranean
Ingredients: 2 tbsp olive oil; 1 shallot; 1 tsp garlic, minced; 1 bunch asparagus, chopped (equal to ~1 cup); ½ cup green peas (I used frozen); 2 tbsp salted butter; ½ medium lemon, zested and juiced; 3 cups Barilla Penne; ⅓ cup reserved pasta water; ½ cup grated Pecorino cheese (Parmesan works too), plus more to taste; 1 8oz container Burrata cheese; salt & black pepper, to taste