It has proposed an all-dielectric metasurface consisting of subwavelength particles, which supports "trapped" mode after the introduction of properly symmetry-breaking in the silicon meta-atoms. Combining the monolayer graphene with all-dielectric metasurface that enables to detect nucleic acids such as DNA and RNA. it has been found that the proposed metasurface is ultra-sensitive to the surrounding environment, its sensitivity in sensing detection can be up to 173 nm/RIU, with the corresponding quality factor of 14 416 RIU^-1, which exhibits excellent biosensing performance by comparing the resonant state in the transmission spectrum. It indicates all-dielectric metasurfaces could be a promising way and platform to realize ultra-sensitive bio-sensors.