LomoGraflok fits all Graflok compatible mounts, but won't work with spring backs. The first generation Graphic View was never sold with the Graflok back, but it was made standard on Graphic View II a couple years into the run -- and the film back/focusing panels on the two interchange (I think -- mine aren't quickly accessible at the moment) via the clips that let you "reverse" the back from horizontal to vertical framing, so it's possible you might find a Graphic View that's been upgraded or might be able to find a Graflok back for that line separate from the camera. Generally, the GV II is a better choice if you're buying one, because it has centered tilts, preventing the need to refocus after applying tilts for either perspective or focal plane control (both cameras have centered swing on the front) -- and because it's still a monorail, the GV II typically costs only a small amount more than the first-gen GV (and both are less expensive than field cameras or press cameras at present).
If you already have a first-gen Graphic View, it's also possible you could get a 3D printed Graflok compatible back made up (might cost about as much as buying a Graphic View II, though, especially since buying the II would then allow you to sell off your first-gen), which would accept any Graflok focusing panel (the one I bought for my Speed Graphic, when I converted it, was actually from a 3x4 Polaroid, works fine as long as I don't try to frame with it or check corner coverage in its ground glass).
What I'd recommend if you're buying into this is a Crown Graphic. As a press camera, it has limited movements (as a Pacemaker generation camera, it has back-only front tilt, rise, and some shift, plus bed drop which combines with rise to give equivalent of forward tilt as well as getting the bed out of frame with wide angle lenses). Most come with a working Kalart rangefinder, which can be pretty easily recalibrated for whatever lens you like, and Pacemaker infinity stops fold, so you can install stops for your main lens, and stops that are set back for use with the LomoGraflok. The Crown, however, is lighter than a Speed, and usually costs less. All the Pacemaker generation cameras came with Graflok backs after the first couple years (they ran from 1948, IIRC, into the 1970s). The rangefinder means you can use the Century much like a top end Polaroid pack camera. It's a bit bulkier and heavier, but it also has the versatility to change lenses (takes 15-20 minutes to recalibrate the Kalart and move the infinity stops), and take off the LomoGraflok to use roll film backs, standard film holders, and Grafmatics.