The Schramm-Loewner Evolution (SLE) is a family of random planar fractal curves, introduced by Schramm in 2000. These random fractal curves are proved to describe the scaling limits of a number of discrete models that are of great interest in planar Statistical Physics. In this mini-course, I will give an overview of some introductory aspects of this theory, focusing the exposure on the intuition behind the results rather than their proofs. I will also give a short sketch of the proof of Rohde-Schramm Theorem on the existence of the SLE trace, an overview of a technique used to approximate uniformly the SLE traces, and a short description of a simultaneously growing Multiple SLE model, for N=2 curves and beyond.