Glyphosate is typically used in conjunction with "Roundup Ready" crops, or before/during planting in "no-till" crops. While Monsanto developed a Roundup Ready line of wheat, it never actually made it to market, AFAIK, so why would you be spraying glyphosate on wheat?
(Serious question; while I have some background in agriculture, I'm not familiar with all of even the common practices.)
ETA: Reading the Snopes link, looks like it's mainly practiced in North Dakota, which explains why I've never heard of it.
Glyphosate is popular when growing non-wheat non-organic produce; if a glyphosate allergy existed, it would likely not appear like a gluten allergy because most products that once contacted it are not gluten-containing.
You can buy glyphosate products at home depot for experimentation.
It would appear to be a cheap and simple hypothesis to test.
I only know of glyphosate resistant soy which ends up in cow food. You usually don’t spray glyphosate on stuff you want to eat because it kills it, which only in the case of wheat is what you want.
So it's not nearly a universal practice, but on the other hand, North Dakota does account for 20% of the US wheat production. (And on the gripping hand, I don't know what wheat distribution in the US looks like; will ND wheat tend to be consumed in a particular region, or will secondary distribution through eg packaged foods tend to distribute it nation-wide?)
[0]: https://freetheanimal.com/2016/05/enrichment-promotes-everyt...
[1]: https://freetheanimal.com/2015/06/enrichment-theory-everythi...
I was constantly trying to figure out why people with gluten sensitivities don't have reactions in most European countries. The enrichment theory seems pretty persuasive.