In the blog post by Marius Obert, the SAP Cloud Application Programming Model (CAP) is utilized to create a bookshop application that can send and receive SMS notifications through Twilio integration. The application is built using the CAP framework's capabilities for database modeling, localization, and messaging, and it demonstrates how to handle stock orders and notify shop managers when inventory is low. The tutorial guides users through setting up a bookshop project, implementing a REST endpoint for stock management, and integrating Twilio's SMS functionality to alert managers about low stock levels and facilitate restocking via SMS responses. The process includes configuring a two-way communication channel with Twilio to handle inbound messages that update stock levels, ensuring managers are informed and can respond promptly. The post concludes by suggesting further enhancements and encouraging users to explore additional functionalities within the CAP framework or Twilio's communication tools.