Bring a large pot of salted water to a rolling boil—this is your pasta foundation. Add your pasta and cook according to package directions until al dente (usually 8-10 minutes), then drain, reserving one cup of pasta water for later adjustments.
While pasta cooks, heat olive oil in a large skillet over medium-high heat until shimmering. Add minced garlic and sauté for exactly 30 seconds until fragrant, stirring constantly to prevent burning—I learned this the hard way after scorching several batches!
Add zucchini and bell peppers to the skillet, stirring frequently for 4-5 minutes until slightly softened. These vegetables release their natural juices, creating the foundation for your sauce, so watch for that golden color on the edges.
Stir in cherry tomatoes, broccoli florets, and snap peas, cooking for another 3-4 minutes until the tomatoes begin bursting. You'll notice the pan filling with vibrant red juices—this is where the magic happens in your cozy summer pasta primavera recipe.
Pour in vegetable broth and heavy cream, bringing the mixture to a gentle simmer over medium heat for 2-3 minutes. Never let it boil rapidly or the cream will separate; I keep the burner at exactly medium to avoid this mistake.
Stir in grated parmesan cheese, fresh basil, and parsley until melted and smooth—about 1 minute of gentle stirring. Taste and adjust seasoning with salt, black pepper, and red pepper flakes to your preference.
Add your cooked pasta to the skillet and toss gently to coat every strand with the warm summer veggie sauce. If the mixture seems thick, add reserved pasta water one splash at a time; it should be creamy but not soupy—Jake always requests his slightly looser, so I keep extra water nearby.