Your simplest entry point is probably to get the tutorial running. It shows how to use jOOQ and its code generator with a simple MySQL database
Before you go on and read the whole manual, there are a couple of interesting questions that you might want to consider:
Q: When I generate source code from MySQL, can I also use it on another database?
A: Yes! The generated Java code will work for all supported databases, not only for the database driver that you used when you generated the code.
Q: When I generate source code from my developer database, can I also use it on production?
A: Yes! You can map your schema at code generation time or at run time. See the manual for details.
Q: Can I use jOOQ without code generation?
A: Yes! You can define tables, fields, conditions using Strings. See the manual for details.
Q: Can I use jOOQ as a query builder and execute queries with Spring?
A: Yes! This has been done by other users and will be documented soon. See this Stack Overflow question for details.