Will i be notified if i completed my taxes incorrectly?

When you e-file your federal return you will receive two emails from TurboTax.  The first one will say that your return was submitted.  The second email will tell you if your federal return was accepted or rejected.  If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.

Or...do you mean will someone tell you if you made a mistake with the information you entered on your return?  TurboTax is a do-it-yourself tax software program.  No one is looking at your return for you to see if you made any mistakes ..... unless you pay the extra fee for "Live" expert help.   

If there is something you are worried about----ask some questions here so we can help before you file your tax return.   

you would be notified either by it being rejected or if the taxing authorities catch the incorrect info which does not always happen