A developer uses Blazor, a new experimental framework that allows building web applications using HTML, C#, and WebAssembly, to create a simple web page that makes telephone calls straight from the browser with C# and Twilio. The project starts by setting up tools such as .NET Core 2.1 SDK, Visual Studio 2017, Blazor, and a Twilio account and phone number. A new Blazor application is created, and a component is built to make a phone call when someone clicks on a button. This involves using the Twilio REST API to create an HTTP request that makes a phone call to the user's cell phone, which then forwards the call to the destination number specified in the URL. The project concludes by highlighting the potential of Blazor and its experimental nature, recommending further learning resources for those interested in exploring this technology.