This has been interesting, since I spent so much of my life thinking that the divergence of men's and women's worlds was due to differences between men and women. The more I 'cross' into their land the more I see them as female, but otherwise very similar in range to types of men. That hasn't cured me of wanting to be feminine in ways we associate with women, but find many females don't want to be feminine in the ways we associate with being female, as it confines them the way being masculine confines me.
That said, it is reasonable to try to understand and feel in ways that females do and men don't, which is maybe the way the OP is meant. We obviously can't feel whatever comes with ovaries, but we can feel what it is like to be flat-chested.We can feel what it feels like to swing our hips and walk in heels, and understand how it feels when people turn their heads to look. It is more difficult to feel free emotionally, if that was trained out of us. There are females who have the same problem. I know what it feels like to be a fearless male protector, and having spent enough time letting myself slip into womanhood, what it feels like to be dependent and weak relative to men. Each element of men's and women's lives can be broken down like that.