When you enter the 1099-R, you answer all the follow up questions and indicate how much of the withdrawal was rolled over to an IRA within the 60 day limit for making a rollover.  On form 1040, the amounts on lines 4a or 4c should show the total distribution amount and the amounts on line 4b or 4d would have the taxable amount which is the total minus the amount rolled over.  The word rollover should also appear somewhere near these lines. 

No, you would not have to pay taxes on the amount you rolled over to the Traditional IRA, provided the rollover is completed within 60 days of the distribution.

After you have entered your form 1099-R, follow the TurboTax interview until you arrive at a page asking What did you do with the money? Answer that you moved the money to another retirement account and that you did a combination of rolling over, converting, or cashing out the money. Then click Continue. (see screenshot).

On the next page, you can enter the amount that you rolled over to the Traditional IRA.