The interplay between topology and superconductivity in quantum materials presents opportunities for exploring novel quantum phenomena. In this study, we investigate the topological properties and superconductivity of the nonsymmorphic chiral superconductor NbGe₂ using high-resolution angle-resolved photoemission spectroscopy (ARPES), transport measurements, and ab initio calculations. The ARPES data revealed exotic chiral surface states on the (100) surface originating from the inherent chiral crystal structure. Our ab initio calculations suggest that NbGe₂'s electronic structure may include elusive Weyl fermions, highlighting its potential for topological superconductivity. Furthermore, we uncovered the signatures of van Hove singularities, which may enhance many-body interactions. Additionally, transport measurements demonstrated that NbGe₂ exhibits superconductivity below 2K. Overall, our comprehensive results provide strong experimental evidence that NbGe₂ is a promising platform for investigating the interplay between nontrivial band topology, possible Weyl fermions, vHSs, and superconductivity in chiral quantum materials.