Level structure of the double-magic nucleus 34Si (Z = 14, N = 20) has been investigated by evaluating the available data. On the basis of experimental results from the beta-decay and fusion-evaporation reactions, we have established the level scheme as assigning spin-parities up to 61+ at 6233 keV. High energy positions of excited states are consistent with the magicity at 34Si, such as the 22+ state of the spherical ground band at 4.519 MeV and the 3-, 4-, and 5- states of the one-particle one-hole cross-shell states at around 4.5 MeV. This nucleus, for a long time, has attracted much attention because of, on one side, a proton bubble structure at the ground state and, on the other side, a deformation at the second 0+ state, 02+. By a comparison of the constructed level scheme with the shell model calculations, we describe the emerging structures in the ground and second 0+ states, and negative-parity 3- states within the framework of shell model context. We propose a deformed rotational band with the cascading 62+ - 41+ - 21+ transitions built on the 02+ state.