Over the past 40 years, gluing constructions have become ubiquitous in geometric analysis, giving us new examples of compact manifolds with holonomy (Joyce), constant mean curvature surfaces (Kapouleas), and more recently, novel translating solutions to Lagrangian mean curvature flow (Su). In this talk, I hope to give an accessible overview of the philosophy of gluing constructions, through the example of finding Calabi-Yau metrics on the surface. The talk will mainly follow the expository article 'Calabi-Yau Metrics on the Surface as a Model Gluing Problem' by Donaldson.