Cook quinoa according to package. Once cooked, spoon quinoa into a large bowl and set aside to cool.
Add chickpeas, mozzarella, tomatoes, onion, olives, and basil to the bowl.
In a small bowl, stir together the lemon juice, peso, and olive oil. Add a pinch of red pepper, if desired.
Pour pesto mixture into the quinoa bowl. Season with salt and pepper.
Stir to combine and serve immediately.
If not serving right away, cover bowl and store in fridge.