Purism uses its own OS,
PureOS, which is a Debian derivative by way of Ubuntu and other members of the Debian-derivative family, but with no taint of proprietary code. Now imagine all the binaries stripped out of the Linux kernel, making it closer to the FSF ideal of a 100% free operating system than the Linux kernel in use almost everywhere else.
They're still using a proprietary BIOS, but have people working on a Free one. The main thing, though, is that
Purism is working to give you all the privacy and freedom they can -- with more coming as they keep working to replace proprietary bits of the OS, BIOS, and hardware drivers with Free Software. Best of all, even if you don't need a new laptop right now, you can download PureOS and run it on any compatible hardware you already own.