A dual function, convertible bra garment includes a construction facilitating user-controllable conversion between a nursing bra configuration, readily usable during a conventional infant or young toddler nursing process, and a breast engorgement-inhibiting configuration. During use as a nursing bra, the garment is maintained in a first configuration, or state, providing direct access by a nursing child to a mother's nipple. Following a relatively simple highly-controllable conversion procedure, the nursing configuration is efficiently and effectively converted, generally based upon a combined elastic band strap-based system, for applying a user-selected uniform breast pressure, coupled with a user—controlled cooling component, and absorbing component, for indirectly communicating cooling to the wearer's breasts or discharge absorption pad, thereby effecting complete conversion of the bra from a nursing configuration to a breast milk engorgement inhibiting configuration.