It's highly likely you'll need https://gitlab.com/nonguix/nonguix even if the free drivers work. nonguix has firmware and CPU microcode packages that you'll most likely want.
Also, I wouldn't recommend a Framework laptop for Guix because they only offer high DPI displays. Those displays are famous for not working properly on Linux in general, requiring lots of workarounds and half-solutions, and leaving you with tiny apps and/or blurry fonts. Distros with the latest software like Arch, kinda help a little because they have the latest improvements, but remember Guix does not have the latest software available. That's not the point of Guix. So you'll be running older software that will be more troublesome with a high DPI display.
If you're interested in repairability and good Linux compatibility, the new ThinkPad T14 laptops scored 10/10 on iFixit https://ifixit.com/News/115827/new-thinkpads-score-perfect-10-repairability
You get a repairable laptop and a Linux-friendly full HD display.