The tutorial explains how to implement a notification system for an on-demand laundry service using Ruby on Rails and Twilio's SMS service. The system sends notifications when the order is picked up or arriving, and also handles callbacks from Twilio to update the notification status of the order. The notification system uses a MessageSender class to send SMS messages with optional media attachments. The tutorial provides an example implementation for sending an SMS message with a picture attachment. Additionally, it discusses how to handle callback requests from Twilio to update the notification status and add logic to resend the message if it fails or send out an automated survey soon after delivery.