Remove giblets from chicken. Place giblets, onion, and garlic in a shallow roasting pan.
Tuck chicken wings under; tie legs together with string, if desired. Place, breast side up, over giblets and vegetables; sprinkle with salt and pepper. Drizzle chicken and giblet mixture with oil. Add broth to roasting pan.
Bake, covered, at 350° for 1 hour. Uncover and bake 1 more hour or until a meat thermometer inserted into chicken thigh registers 180°.