This is a short, interesting video, but there's really nothing here for any competent programmer, even a fresh graduate. It turns out they they update the software by sending the update by radio (/s). The video hardly goes any deeper than that, and also makes a couple of very minor layman-level flubs.
There is a preservation effort for the old NASA computing hardware from the missions in the 50s and 60s, and you can find videos about it on YouTube. They go into much more detail without requiring much prior knowledge about specific technologies from the period. Here's one I watched recently about the ROM and RAM used in some Apollo missions: https://youtu.be/hckwxq8rnr0?si=EKiLO-ZpQnJa-TQn
One thing that struck me about the video was how the writers expressed surprise that it was still working and also so adaptable. And my thought was, "Well, yeah, it was designed by people who knew what they were doing, with a good budget, lead by managers whose goal was to make excellent equipment, rather than maximize short-term profits."