Cook the quinoa according to package directions.
Meanwhile, heat the oil in a Dutch oven or large heavy-bottomed pot. Add the onion, carrot, and celery and cook, covered, stirring occasionally, for 6 minutes.
Add the garlic, paprika, and 1/4 teaspoon each salt and pepper and cook, stirring, for 1 minute. Add the peppers and cook, stirring occasionally, for 5 minutes.
Add the garlic, paprika, and 1/4 teaspoon each salt and pepper and cook, stirring, for 1 minute. Add the peppers and cook, stirring occasionally, for 5 minutes.
Add the chickpeas, broth, and 1 cup water and bring to a boil. Reduce heat and simmer until the vegetables are tender, 5 to 8 minutes. Stir in the vinegar and cooked quinoa. Serve topped with parsley, if desired.