What a lovely quote. More context is important, and it looks like this came from Carly Fiorina's Memoir “Tough Choices”. From Wikipedia: Fiorina “served as chief executive officer of Hewlett-Packard from 1999 to 2005 and previously was an executive atAT&T.”
The context is:
“I was always encountering adventures. In England, I went to an all-girls school in London. The whole experience seemed almost like a movie to me, with our uniforms, and out headmistress and our all-girls version of Romeo and Juliet [...] the Channing School for Select Young Ladies.” (p. 7, Penguin 2006)
To understand this quote it is useful to know a little about the Memoir genre. In Memoir, authors often recount their upbringing, their childhood and adulthood experiences, and often highlight particular times and experiences in order to tell a larger story which makes sense in a moral, ethical or personal way.
In this book, Carly describes a childhood in which many things were learned from her parents and from the places and people she met along the way. She is building her memoir by describing a varied and international background, spent as her family followed her father between academic jobs. To illustrate how her experience in London was special, and give the reader an idea of what it might have meant to grow up in such a place, she writes the quote we are looking at.
To answer your question, she is describing how her experience in school has stereotypes, that will be useful in developing her story about her upbringing. These schools are often highly structured, proper environments, and it's funny to look back on the rigidity of one's upbringing once one has become an adult. For instance, every one in the school's administration took the value of acting to be unquestionable as a school activity, but no one knew enough about acting to correct her accent, or were too embarrassed by her American misunderstanding of British culture to correct her.