The Nexmo-to-Azure Speech Service connector allows users to receive inbound phone calls and automatically transcribe them in real-time using Azure's Speech-To-Text API. The app can be deployed with various options, including one-click deployment on Heroku or Azure, remixing the code on Glitch, or deploying with Docker. To use the app, a Vonage API account is required, which includes purchasing a virtual phone number and setting up an application ID. Once set up, users can call the assigned number and see their spoken words transcribed in real-time. The connector also allows for extending its functionality by pushing the transcribed phrases to another service for further processing.