All-dielectric metasurfaces have led to a surge of activities in the field of polarization converters due to their extremely significant potential in the manipulation of terahertz waves. Herein, a versatile all-dielectric metasurface platform that can realize dual-functional polarization manipulation for the orthogonal states of polarization in the terahertz frequency range is proposed. Furthermore, such metasurface platform exhibits the properties of a full-waveplate for one circularly polarized light, and a quarter-waveplate for the orthogonal circularly polarized light. For experimental demonstrations of strategy verification, several representative metasurfaces consisting of subwavelength-scaled all-silicon elliptical cylinders were designed, fabricated, and characterized to demonstrate the capability of dual-functional polarization manipulation, including bifunctional waveplate, near-field imaging, and focusing. The metasurface platform demonstrated here may provide an alternative perspective for the development of compact, versatile polarization terahertz devices, and the design concept can be extended to other frequency ranges as well.