I had the same question, and it is confirmed that the normal coupon code box/area is now used for the gift codes as well. After doing this however, I felt that the area was not defined well enough as stating “Coupon Code; If you have a coupon code enter it here.”, so below is how to change this.
Changing the title area of “Coupon Code”, to “Coupon & Gift Codes”, or other.
Follow your root path to, /app/design/frontend/base/default/template/checkout/cart/coupon.phtml
The file you will want to edit is coupon.phtml, the line of code appears at 27-30
Hope this helps someone! I searched for a quite while.