Everything thats in the blog post is basically well known already. Google publishes papers and gives talks about their TPUs. Many details are lacking though, and require some assumptions/best guesses. Jax and XLA are (partially) open source and give clues about how TPUs work under the hood as well.

https://arxiv.org/abs/2304.01433

https://jax-ml.github.io/scaling-book/

From the acknowledgment at the end, I guess the author has access to TPUs through https://sites.research.google/trc/about/

This is not the only way though. TPUs are available to companies operating on GCP as an alternative to GPUs with a different price/performance point. That is another way to get hands-on experience with TPUs.

There's a pretty detailed description of TPUs in the latest edition of Hennessy's Computer Architecture. (Hennessy was also involved with the design of the early TPU architectures if I recall right.)