Can you understand women?
Such a blanket question is impossible to answer with any accuracy, as women, like men, are all different. There is no universal “understanding” of anything without qualifying criteria, of which none has been supplied here. 
Understand the difference between the sexes is equally impossible because the depths of the human psyche is so vastly different from one human to another and differs as well within each human’s mind depending on emotions, motivations, changing perspectives, etc, gender making no difference, that an all-encompassing “understanding” of any one person is impossible at any given time, let alone an “understanding” of an entire gender based on their sex.
Ok, give me the qualifying criteria that you would need to be able to answer the question.