It's transferable from generation to generation, and it's for all. If one child has it, then they all have access the same way. We encourage families to get an eligibility certificate for every child, because eventually they'll have their own families, and if they have the certificate, their children can make use of it.
Evidence of meeting #47 for Official Languages in the 42nd Parliament, 1st session. (The original version is on Parliament’s site, as are the minutes.) The winning word was schools.
A recording is available from Parliament.