More specifically, in your case, go to [broken link removed]where you will find the following information:
It's easy to automatically qualify for free day-do-day banking transactions in a fee quarter1
Make three payments from your personal current account using Bank of Ireland 365 phone and/or online2 services during the quarter, OR keep a minimum balance of €500 in that account for the full quarter.
The bank won't automatically give you free banking, though - you need to register for it. I think I was able to register over the phone, but I can't remember accurately enough to tell you for sure. Check with your own branch or Banking 365 to see if there is a form to fill in.