Nuclear magnetic resonance (NMR), one of the most powerful analytical techniques in chemistry and life science, is typically limited to macroscopic volumes due to its inherent low sensitivity. This excludes NMR spectroscopy from analysis of microscopic samples sizes such as in single-cell biology or in microfluidic applications. In recent years, it has been shown that NMR signals can be detected from nano- to microscale volumes by a new sensor class – quantum sensors based on defects in the diamond lattice - the nitrogen-vacancy (NV) center. However, these experiments were limited by a low spectral resolution and to pure samples with high viscosity, which precludes practical applications in chemistry. Here, I will present our recent results where we could overcome these basic problems. First, I will describe how NV-centers can be used to detect NMR signals from picoliter sample volumes on the surface of the diamond chip with high spectral resolution (~1 Hz). Second, I will discuss our newest results on improving the molecular sensitivity of this approach by hyperpolarizing nuclear sample spins. This technique combines microscopic-scale NV-NMR with a fully integrated Overhauser dynamic nuclear polarization scheme which reaches femtomole sensitivity. I will provide an overview of this rapidly developing technology and discuss potential applications, such as single cell metabolomics.