There are a lot of asymmetries between the sexes general from a biological point of view. This includes differences in the amounts of resources invested and limitations on numbers of offspring in reproduction. To an extent, sexually different behaviors, ingrained by selection, will reflect these differences.
Making sperm vs. making eggs is a good example:
The production of an egg takes a lot more resources than an individual sperm. Post fertilization care (carrying a developing fetus if you are a mammal) is another burden on the female.
Sperm are relatively cheap to make on a sperm-by-sperm basis and they can be made in the billions.
Eggs (in mammals) are also made in limited numbers, which is a hard limited on the number of offspring. Numbers of offspring is a prime indicator of evolutionary success.
Parental care is another:
When sexually disproportionate parental care can exist 9generally, more on the females), there are good adaptive reasons for particular choices of mates by females.
For example: females would tend to choose mates with traits that indicate they would be productive (indications of wealth), feel responsible toward offspring and mate (treat dogs well?), and healthy (indicative of good genetics and long term productivity).
The Dr. Suess book
Horton hatches the egg provides an alternative view of the investment of parental care, kind of like a
cowbird.
There is a huge literature on mate choice and sexual differences.
There is also a lot of variation between different species.