I feel like this is definitely a repeat topic, but eh, whatever.
It really depends on how good it is. I obviously believe that it is going to be pretty damn good based what I've heard/seen so far, but there is no way to be certain until it actually comes out.
If it's bad, or just ok I'll probably only see it once.
If it's at all good, I'll definitely see it twice.
If it's just flat-out excellent, like not just good for a Godzilla movie, but also good when compared to other excellent films like Jurassic Park, In Bruges, Star Wars V or something like that, then I'll see it 3-5 times depending on my budget at the time of release.
There is only one movie ever I've seen more than 5 times in theaters. I actually saw it 8 times, but I just don't objectively see Godzilla touching that kind of level.