Java is a widely used programming language that is mainly used for application programming. It is platform-independent and supports features like multi-threading and documentation comments. The key aspects of a simple Java program are that it must contain a class with a main method that can be the starting point of execution. The main method has a specific signature of public static void main(String[] args). When a Java program is run, the JVM (Java Virtual Machine) loads and executes the program by performing operations like loading code, verifying code, and providing a runtime environment.