Bring a large pot of salted water to a rolling boil. Add pasta and cook according to package instructions, about 8-10 minutes, until al dente. Reserve about a cup of pasta water, then drain and set aside.

In the same pot, drizzle in olive oil over medium heat. If desired, add minced garlic and sauté until fragrant, about 1 minute. Toss in the broccoli and stir for 5-7 minutes until tender.

Add the drained pasta and white beans to the pot. Pour in pesto sauce and mix everything thoroughly, adding reserved pasta water as needed for a creamy consistency.

Taste and season with salt, pepper, and lemon juice if desired.

Serve the pasta in bowls and enjoy with a light salad or garlic bread.