The Singleton pattern ensures that only one instance of a class is created and provides a global access point to that instance. It describes how to implement the concept of a singleton class by creating a private constructor, a static method that returns the instance, and a static property that holds the single instance of the class. The document discusses issues that can arise with thread safety when multiple threads simultaneously try to access the singleton instance and provides solutions like using mutex locking to ensure only one thread initializes the instance.