A designed arrangement of nanometer-sized holes in a thin dielectric film is presented to create a gradient-index plasmonic metasurface Gutman lens (PMGL) for controlling surface plasmon polaritons. We introduce two distinct designs for PMGL: one features a periodic rectangular hole array and the other features a dodecagonal quasicrystal array. Upon comparing their focusing properties, we find that, despite the superior rotational symmetry of the dodecagonal structure, the rectangular array outperforms in terms of the focusing properties of the Gutman lens.