Combine the rinsed quinoa and water in a saucepan. Bring to a boil, reduce to a gentle simmer, cover, and cook for 15 minutes, or until the water is absorbed.
Remove the saucepan from the heat and let the quinoa stand, covered, for 5 minutes. Fluff with a fork and cool for 10 minutes.
Whisk the olive oil, lemon juice, garlic, salt, and black pepper in a large bowl.
Add the cooled quinoa, chickpeas, cucumber, cherry tomatoes, red bell pepper, and parsley to the bowl.
Toss until evenly coated, divide among four bowls, and serve.