In response to this post by Caleb Campbell:

Gender goes deeper than mere plumbing. I think God intentionally created man and woman and intentionally made them different physically, emotionally, etc, etc. I don't belive He left gender to personal choice. In that case He could've made us all hermaphrodites and called it a day. Of course that would then preclude free will. Clothing choice can be chalked up to cultural values (nurture), but there are emotional and physical traits that are innate, not learned (nature). Though some can be learned/unlearned, these innate characteristics cannot all be attributed to outside imposition (once again, cultural values).

And no, I don't think God is technically "bound to gender," as gender applies to physical beings. Referring to God as "Him" is probably due to the fact that Jesus was a man and that the writers of Scripture lived in a patriarchal society.