I have read the book yes, and the lobster stuff is in chapter 1 indeed.
I don’t think that chapter was particularly enlightening, as far as I remember it was mainly about how evolutionary selection results in hierarchies in al species (hence the lobsters), and standing up straight gets you higher in the hierarchy because of something something confidence.
The evolution stuff is not wrong, and the stand up straight is… Eh… weird psychology stuff? However it didn’t mention women or gays as you said.
You got to expand a bit on your question, I don’t know what you want to hear.
Regarding hierarchy in the animal kingdom, it’s this: https://en.m.wikipedia.org/wiki/Dominance_hierarchy