Summertime Potluck Puttanesca

Name: Summertime Potluck Puttanesca
Ingredients: 2 handfuls broccoli florets; 1 pound tubular pasta, such as campanelle or penne; 2 medium summer squash, preferably yellow, trimmed, halved lengthwise and sliced very thinly crosswise; 2 garlic cloves, minced (remove any green shoots first); about 1/4 cups basil chiffonade (a moderate handful: 10 or so large leaves); 1 teaspoon hot pepper flakes, or to taste; 20 kalamata olives, pitted and sliced; 1/4 cup capers, drained and rinsed; Lemon juice to taste (start with half a lemon and adjust from there); 1 28-ounce can good quality crushed tomatoes (like San Marzano); 1/2 cup extra virgin olive oil; Salt and pepper to taste