I mean, brain is just a set of chemical reactions based on inputs. Reading has 3 parts. (1) Eye running through text and sending it to the brain. (2) Brain is trying to connect the content with other neurons. (3) Storing data, probably in the form of neuron connection, after step (2), which found correct place to store.
Now assuming process never ends and human anyway can't control 100% of that chemical reaction. While your brain is trying to figure out other thing, can it still execute steps (2) and (3)? Because (1) didn't stop