No. Women are not better at it because of our biology.
There is no gene for it. A female infant is not born with genetic childrearing knowledge, but from the day they're born they are trained for the role. Baby dolls, pushchairs, toy kitchens, etc etc. Moulded into a nurturing role. Grow up watching gender roles play out. Absorbing messages day in day out from everywhere.
It's purely, wholly, totally, completely, that it's expected that women do it.
As with anything, the more you do it, the better you are at it.
The reason many women seem to be better is that they do it more, so become better, so seem better, so people say they're better, so it's expected that they do it, so they get trained to do it, so they're better, so people think they're better, etc etc etc