Ira Bekow tells her story in a recent New York Times article.
Gretel Bergmann Clik here for NYT story
Although this post is to note the passing of Gretel Bergmann it is difficult to separate her story from that of Dora Ratjen aka Heinrich Ratjen who competed for Germany in those 1936 Games.
A few years ago a German company produced the film "Berlin 36" fictionalizing some of Bergmann's story. Of controversy was the role played by an other German high jumper Dora Ratjen who passed as a female and was the fourth place winner in the 1936 Olympic Games. The German press in this 2009 article in Der Spiegel by Stefan Berg September 15, 2009, takes the filmmakers to task over the facts about Ratjen. Both these stories are long reads but well worth the effort. Note that that Ratjen story is two pages on its site, and you have to go to the bottom to clik onto the second page.
Dora Ratjen's Story