With Twilio's Message Scheduling feature, developers can send scheduled SMS notifications with a single API call, eliminating the need for custom scheduling solutions. To use this feature, users must first configure a Messaging Service and add their Twilio phone number to it. They then set up a Ruby project, install the Twilio helper library, and define environment variables for their account credentials and Messaging Service SID. The application creates an instance of the Twilio client object and initializes it with these values, schedules a message to be sent 61 minutes after the current time, and uses the `messages.create` function to create and schedule the SMS. Once run, the application prints the sid value assigned to the scheduled message, which can be used to cancel the message if needed.