Steam versions of BioShock and BioShock 2 will automatically be upgraded to the new HD versions’ features in the imminent BioShock Collection, but those who don’t have Steam editions will be required to do a bit of work.
If you own BioShock, BioShock 2 and/or Minerva’s Den you already own the remastered edition of the associated game. They will be added to your Steam Library automatically when they are released.
Retail disc release:
For BioShock you will need to fill out a support ticket to prove your ownership and – once validated – 2K will send you a Steam key.
If you own BioShock 2 on a retail disc for PC you need to follow the Games for Windows LIVE guide previously published by 2K.
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Digital Version not from Steam:
Over the years 2K has offered DRM-free versions of BioShock from a few Digital Partners, and even offered some SecuRom Digital versions. You should reach out to those websites support rings and they should be able to provide you a new Steam key.
There will be no updated PC version of BioShock Infinite as 2K deems this game to be of current-gen standards.
Source: 2K Support