SQL (Structured Query Language) is a programming language for managing relational databases that includes various command types such as Data Definition Language (DDL), Data Manipulation Language (DML), Data Control Language (DCL), Transaction Control Language (TCL), and Data Query Language (DQL). DDL commands define and modify database structures, while DML commands are used for data manipulation, and DCL commands manage user permissions. TCL handles transactions, and the primary DQL command, 'select', retrieves data based on specified conditions.