In Anthony Giuliano's tutorial, readers are guided through creating an audio player component using Stencil, a tool for building reusable web components suitable for large-scale design systems. The tutorial introduces fundamental Stencil concepts, leading to a customizable audio player that can integrate with various front-end frameworks or function independently. It covers setting up a Stencil project, generating boilerplate code, and managing component properties and state, such as audio title, source, duration, and playback status. By utilizing the @Prop and @State decorators, the tutorial explains how to render the component, manage audio playback, and format time displays. The guide also discusses enhancing the component's appearance using CSS and incorporating play/pause icons. Ultimately, the tutorial provides a foundation for creating versatile components that contribute to a cohesive design system across different platforms.