King of Tokyo (2016 version): Battery Monster and Friend of Children
No you don't because the card does not say to gain the energy but to transfer it from the card to your pool so you are not gaining but moving so it is available.

Battery Monster:


  (Keep) When you buy Battery Monster, put 6 [energy symbol] on it from the bank. At the start of each turn take 2 [energy symbol] off and add them to your pool. When there are no [energy symbol] left discard this card.


The Friend of Children Power Card states:


  (Keep) When you gain any [energy symbol] gain 1 extra [energy symbol].