Complex sentence: Official recognition means that priests (called "counsellors" within the secular organizations) receive a state stipend and that parents can choose any recognized denomination to provide religious education to their children if they attend a state school.
Split into simpler sentences: Official recognition means that priests (called "counsellors" within the secular organizations) receive a state stipend. Also, parents can choose any recognized denomination to provide religious education to their children if they attend a state school.