Thanks to Chris Kirkpatrick (who is now a member of the Lazarus-ccr project), the documentation section now contains a tutorial and sample application on how to write Lazarus applications using MySQL:
http://lazarus-ccr.sourceforge.net/index.php?wiki=LazarusDatabase
Chris has also made major contributions to the LazarusTutorial:
http://lazarus-ccr.sourceforge.net/index.php?wiki=LazarusTutorial
Thanks Chris!