In this talk I will give an introduction to how one can adapt integrability-based methods originally developed to compute the spectrum of local operators in N=4 Super-Yang-Mills theory to the analogous problem defined on a 1D Defect CFT living on a supersymmetric Wilson Line in this theory. I will recap the integrability description for a sub-sector of local operators at one-loop, and show how the solution works both in this setup and the modified setup with the defect present. This exercise will also help us to see how the integrability description can be extended non-perturbatively resulting in the formulation Quantum Spectral Curve (QSC). I will demonstrate how the QSC can be solved, allowing to obtain the exact non-perturbative spectrum of the 1D defect CFT, to any desired precision.