Put the chicken breast in a pot, add enough water to cover the chicken. Add the chicken base and simmer (about 1.2 hour) or until the chicken is done. Cut the onion up, add 1 tbsp olive oil to the skillet and add the onion and garlic, brown lightly.
Take the chicken out of the broth, and strain the broth. Shred the chicken and put it back in the broth. Add the beans, tomatoes, chiles, onion, garlic and seasonings. Simmer for about an 1/2 hour. Serve with some Monterrey Jack Cheese and green onions. If you like it thick simmer till the stock is more reduced.