I was told when I filed my taxes that when I was being charged it would come out of my taxes, I was recently charged to my bank account. Is that normal? Never paid before

Yes, it us nomal.  When you signed up for the serice, part of the explanation, and theree were follow up emails on this, is if your refund was not issued in 26 days, TT had the right to debit your bank account directly for the fees it was due.  

https://ttlc.intuit.com/turbotax-support/en-us/help-article/intuit-account-billing/bank-account-auto-debited-turbotax-fees/L3rDdVynu_US_en_US?uid=l41ayw4g