The Twilio Hackpack for Sinatra and Heroku provides a simple way to build a full-fledged Sinatra app with Twilio integration, allowing developers to focus on writing their app without worrying about setting up phone numbers, application IDs, or Heroku configurations. To use the hackpack, developers can fork it from GitHub, install necessary gems, create a Heroku app, run the configuration file with their Twilio account credentials, and deploy online to Heroku. This hackpack is designed for Ruby developers who want to integrate Twilio into their apps without the hassle of setting up the underlying infrastructure.