I was wondering if they will ever have the ability to give gift memberships or even gift cards that you can send to someone. They could do something like Amazon does where you can buy a gift certificate online & send it by email to someone else. 

Giving gift memberships is already an option here.

http://www.chess.com/home/gift_subscription.html

Yes, that already is a feature here, as as RyanMK stated.

I want to give gift membership for a month, is this possible?

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 Unfortunately this cannot be done at the moment.  But we need to campaign for it!  :)

OG

If you would like to purchase a 1 month gift membership for another member please message me and I can help you with this.

I'll be doing that in due course, thanks a lot Patzer :D