I own the original dishonored and all dlc contents including "definitive edition".
When I go as far to shopping cart check out. It comes up with a message saying this.
According to our records, you already own one or more of the items included in your cart.
If purchasing for yourself, you will not receive an extra copy of:
Dishonored: Dunwall City Trials
Dishonored - The Knife of Dunwall
Dishonored - Void Walker Arsenal
Dishonored: The Brigmore Witches
Would you still like to continue with your purchase?
Which meant pretty much NO second game (regardless of if you already own one or not) to give out period. This is pretty much normal for pre-order offers like this.
Basically if you don't have it already. It will get add to your account directly. You will not have a chance to gift it to someone else if purchasing for yourself.
I don't know about purchase as a gift for someone else as I have not done it with a pre-order attached. But I assume both dishonored 2 and dishonored definitive edition will be both gift at the same time.