Easy Peasy Summer Minestrone

Name: Easy Peasy Summer Minestrone
Ingredients: ¼ cups Olive Oil; 1 whole Red Onion, Chopped; 3 cloves Garlic, Minced; 3 whole Carrots, Diced; 2 whole Celery Stalks, Diced; ½ teaspoons Crushed Red Pepper; 1 whole Red Bell Pepper, Diced; 2 teaspoons Fresh Rosemary; 1 teaspoon Coarse Salt; 1 teaspoon Freshly Ground Pepper; 3 whole Large Tomatoes, Chopped; 4 whole New Potatoes, Diced Into 1-inch Chunks; ¼ heads Green Cabbage; 1 can (15 Oz. Size) Cannellini Beans, Drained And Rinsed; 4 cups Water, Or More As Needed; 1 cup Broccoli Florets; 10 leaves Basil, Torn; ½ cups Fresh Parmesan Shavings, For Serving