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Very VERY few intersex people have anything resembling having both sets of reproductive organs. There are few who are even born with ambiguous genitalia. It gets very complicated though, so here's a link: https://www.scientificamerican.com/article/beyond-xx-and-xy-the-extraordinary-complexity-of-sex-determination/
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The anatomy is certainly interesting and is something I honestly should look more into, but from what I recall, about 1.7% of the human population is believed to be intersex (this number could change as more people are aware of intersex conditions. This is an estimation given that many people don't know about intersex conditions and there are many conditions that might only be found out through a medical test). On the other hand, about 1 in every 2500 babies born have ambiguous genitalia. And of course, the stigma around that pushes doctors to do genital "reconstruction" surgery, which often has negative lifelong consequences for the intersex individual
As far as I know, there has been no cases of intersex people out there capable of fulfilling both reproductive roles or having both sets, but the world is vast. There was a cisgendered woman in Sweden born with XY chromosomes and she was able to give birth to a girl who had inherited her mother's Y chromosome. Persistent Mullerian duct syndrome exists, where the testes and urethra of someone with a penis are connected by uteran tissue. A perfectly textbook human body is an anomaly.
I don’t know what intersex means, but I don’t want to google it.
I feel like I would definitely better understand if a actual human explained it to me :p