The development of Thermodynamics was a stepping-stone to understanding the properties of complex systems, allowing to constrain which types of processes are physically realizable. However, classical Thermodynamics does not describe nonequilibrium systems, which represent a large range of phenomena observed in nature, including life itself. Examples range from the transport of cargo by molecular motors and gene transcription, to bacterial chemotaxis and beyond. Achieving a unified theoretical description of all such processes is challenging, and in the last years, physicists have teamed with biologists to apply the tools of Nonequilibrium Thermodynamics to study such phenomena. In this talk, I will provide a gentle introduction to Stochastic Thermodynamics, a field of Nonequilibrium thermodynamics. Special focus will be given to Markov-jump processes and its direct applications to describing biophysical systems. I will finish by showing how this toolbox can be used to derive fundamental operational limits of a general biochemical motif consisting of a ligand binding to a receptor.