Philosophically speaking, does each of us experience "520 nm green" the same way?

Is my "520 nm green" actually your "635 nm red"? And vice versa?

Are all of our color embeddings different despite the same g-protein coupled biochemical activation?

My left and right eyes are shifted +cyan and +magenta respectively, so, no, definitely not — but hooray for the resulting semi-tetrachromacy :D

For different brains, the answer has to be no because the images you see are a "neural net" construction and if that neural net differs then the "image" you see is different

this is actually a surprisingly rich area of debate in philosophy of mind. see: https://plato.stanford.edu/entries/qualia-inverted/

Consciousness and qualia are a mystery.

I would assume we don’t, simply because nerves are reproduced biologically, but I’m not a neuroscientist.

define "experience the same way"

There's a philosophical school of thought (which I share) that there's no coherent definition.

>the same g-protein coupled b

If my "g-protein" actually your "g-protein"? Is my visual cortex firmware your visual cortex firmware?

> If my "g-protein" actually your "g-protein"? Is my visual cortex firmware your visual cortex firmware?

That path leads down to solipsism which is not very intersting