There is hereby established a judicial conference to be known as the judicial conference of Rhode Island, consisting of all the justices of the supreme, superior, and district courts and the family court of the state and of such other members as the supreme court may from time to time determine, for the consideration of matters relating to judicial business, the improvement of the judicial system, and the administration of justice. The supreme court shall by rule provide for the organization and conduct of the conference. The general assembly shall annually appropriate such sums as shall be necessary to carry out the purposes of this section, and the state controller is hereby authorized and directed to draw his or her order on the general treasurer for the payment of such sum, or so much thereof, as may be required from time to time, upon receipt by him or her of duly authenticated vouchers approved by the presiding justice.