Amazon API Gateway is a fully managed service that makes it easy for developers to create, publish, maintain, monitor, and secure APIs at any scale. It allows developers to create a unified API that acts as a gateway for multiple backend services, providing features like authentication, throttling, monitoring and documentation. The document discusses Amazon API Gateway and how it can be used with AWS Lambda to build scalable and secure APIs. It also provides a case study of how shipping company Temando used API Gateway and Lambda to migrate their monolithic architecture to a microservices approach.