Yes, you will. It will automatically be added to each of your Steam game libraries.
BTW, for not much more than the Digital Collector's Edition (depending on your region), there is a D:OS 2 Kickstarter tier still available through the Paypal page (though probably not for long), Two-by-Two, which contains 2 copies of the Enhanced Edition as well as 2 copies of D:OS 2, when it will be released in about a year and a half.
