The popup for an ancient wonder shows as bonus: "+3 Culture, +2 Research, +2 to Adjacent influence". However, for the selected tile, only "+3 Level to Influence" is shown (and this is what appears to be actually used, according to the building stats).
One: I like the "different boni so you have to choose" thing (and the adjacent boni will make building really interesting).
I'm a bit confused however that the bonus icons are almost completely different from GalCiv2 (I can get used to that), and there seem to be a lot less production bonuses (that might be a balancing issue, however).
[edit] I'm also still quite confused about whether "culture" and "influence" is the same: Above use suggests that this is not the case, OTOH the "Planetfall" improvement says "+2 culture" in the mousover and "+2 influence" on the selected tile.