8v55 I expect this will happen "naturally", i.e., I expect Google and others will, over time, contribute various ciphers and hashes which will end up in AOSP, which GrapheneOS will naturally incorporate. I think that is substantially more likely than that the GrapheneOS project will start implementing cryptographic primitives.
Edit: note that there is a substantial "network effect" present: if GrapheneOS were the sole platform to deploy a new quantum-resistant crypto suite, what would it be useful for? Web servers wouldn't encrypt web pages with it, encrypted message apps wouldn't encrypt messages with it, etc.
Please note that I do not speak for the GrapheneOS project.