Not even the cheapest google cardboard knockoff I've seen uses Fresnel lenses, I would think you would get a lot of distortion, especially at the periphery.. I typically see recommended for diy cardboard headsets is a 5x bi-convex lens. Scavenging a lenses out of a couple of
these should do nicely.
Edit,
This is a slightly larger diameter, slightly longer focal length glass lens for quite a bit cheaper, but you would have to tweek the headset design a bit.