WebSphere MQ is a middleware tool that facilitates application-to-application communication by sending and receiving messages via messaging queues. It provides a secure and reliable transport layer for moving data in the form of messages between applications across platforms. WebSphere MQ uses APIs that support programming languages like Java, C, COBOL, and Visual Basic. It differentiates between persistent and non-persistent messages, with persistent messages assured delivery even after system failures. WebSphere MQ manages objects like queues, channels, and listeners that applications use to communicate with each other via messaging.