Does Godzilla even acknowledge that human's exist in Godzilla 2014?

no

False. *SPOILER* He and Ford share a brief moment after Godzilla has fallen. So he does have some comprehension that there is an inferior animal present and acknowledges him [Ford] by staring at him.

Not sure what you're actually asking but lets see.

Well, Would you acknowledge something that has attacked you with missiles ?...hmm, yea !

I don't think he really "cares" about us but I don't think he wants to purposely hurt us...until the military starts shooting at him. The he gets mad and doesn't care who he kill.s

I believe he thinks of us as ants. They can sting a little when they bite, but overall, they're unoticable.