We report 3-dimensional (3D) graphene-based biosensors fabricated via 3D transfer of monolithic graphene-graphite structures. This mechanically flexible all-carbon structure is a prospective candidate for intimate 3D interfacing with biological systems. Monolithic graphene-graphite structures were synthesized using low pressure chemical vapor deposition (LPCVD) process relying on the heterostructured metal catalyst layers. Nonplanar substrates and wet-transfer method were used with a thin Au film as a transfer layer to achieve the 3D graphene structure. Instead of the typical wet-etching method, vapor-phase etching was performed to minimize the delamination of the graphene while removing the transfer layer. We believe that the monolithic graphene-graphite synthesis combined with the conformal 3D transfer will pave the way for the 3D conformal sensing capability as well as the intracellular recording of living cells in the future.