High pressure has been playing a key role in advancing superconductivity research in promoting both more substances into superconductors, and critical temperature. Another routine is the 2D limit to monolayer. Transition metal dichalcogenide (TMD) 4Hb-TaSe2 has a natural heterogeneous structure with alternating stacking 1T-TaSe2 and 1H-TaSe2. Due to the enlarged T-T and H-H layer distance, the weak Van Der Waal interaction in this special TMD system makes the bulk sample behave like two monolayer TMD single crystals. Upon compression, the superconductivity competes with its intra-layered and inter-layer CDW order, which results in substantially and continually boosted superconductivity. The superconductivity in the individual layer responses differently to the charge transfer, and novel dual-layer superconductivity emerges when both CDW orders collapse. For the first time we demonstrate the dual monolayer-like superconducting behaviour in a bulk TMD materials, which offers a new direction to deepen our understanding of this interesting class of TMDs.