If that's all you want, you can just put it on standard sleep. The power draw is minimal and since you have a desktop anyway, there's no battery drain concerns.
It will recover the state in a second or two this way.
Hibernate is useful if you like to keep a laptop unused for several days at a time, but in your case, it wouldn't really offer anything over regular sleep mode. The power cost savings would be a few dollars a year, at most.