The ones and zeros you see on the screen are different from the ones and zeros that your computer uses. When a computer displays any form of text, It references a lookup table. One of those standards is called ASCII...

Your computer can then convert a string of ones and zeros into text readable by you and me using one of these lookup tables.

An example of a human readable version of the ASCII lookup table: https://i.pinimg.com/736x/0d/f1/90/.....4d390c02e6.jpg

The computer isn't interpreting binary as 1s and 0s per say. It's interpreting them as On or Off. Yes or No. The very simplest of conditionals. And then we designed computers to then relay those conditionals to us as 1s and 0s

As already mentioned, the computer isn't really seeing 1's and 0's. It's more of a leftover from the earliest of days about computers in general. Even predating the vacuum tubes that switched current between two states comes a massive mechanical block that the inventor was making for a kind of boat navigation tool. The mechanical gearing would throw physical rockers into a type of 1 or 0 position to calculate a super early GPS deal that was meant to keep ships from sinking against hidden rocks in harbors. It's a really interesting thing to see, as it is one of the few examples of literally seeing binary in action on a Human scale.
Alas, the vision was well beyond the means of the era and the machine was never completed. Even incomplete, the thing weighed a literal ton and I've no idea how many kilobytes of "ROM memory" this thing had. After all, if memory serves, eight bytes of "memory" equate to eight physical switches.
The idea carried over into vacuum tubes that switched electrical current between a state of on and off over mechanical gears and such. Then got even smaller with the microchips.
Then, fast forward to the Quantum Computer, where a switch can be ON and OFF at the same time. Is that the fabled 2 in Binary???