I get better battery life, but I think because it's new. I had the same when I got my S5. After the lollipop upgrade, I did a complete factory reset which helped, but since it wasn't a brand new phone, it wasn't as good when I got it.
I do however have better connection. In church with the wifi there and everyone on their phone, tablets. etc., I'm on my 4G, I would lose connection off and on. After the end of church my S5 battery was 50% or less (10% loss in just over an hour with me not even using it). My Note 5 so much better. I can't remember now, Sunday was a short church day, but it was better then 70% left.