Based on the Nex(es) that I owned, they will auto focus by themselves. I would have preferred that Sony provide an option to enable/disable this feature in the next firmware update. Panny and olympus is off by default and allows you to enable this full time autofocus in menu.
I dont like feature as it will sort of interfere with the focusing when I half press shutter. For example, I might take a shot, then wait for my son to make funny face again. But as I am using f1.8, and my son head is rather close to camera, hence, there is a chance that the eyes are not sharp while somewhere else on face is sharp. So, I cant really half press shutter to lock focus as he will be moving around. So, when I want to take shot, the full-time autofocus kicks in and trying to focus, and this will cause the whole focusing process to take longer. Add in factors like low light to cdaf, it will just make it worse.
I can understand that Sony doesn't offr option to switch this off for the nex3 and 5s, but the 7 is marketed as professional, shouldnt it offer the option to disable it?