MySQL is an SQL-based relational database management system that is compatible with standard SQL. SQL is used for data definition and modification. Data definition statements like CREATE DATABASE and CREATE TABLE are used to define the schema. Data modification statements like INSERT, UPDATE, and DELETE are used to add, modify, and remove data from tables. Queries use SELECT statements to retrieve data from one or more tables, along with WHERE and JOIN clauses to filter rows and aggregate functions to perform calculations on groups of data.