Wow Bon Bon,
That's pretty disturbing. I want to say that he violated your privacy and he can't be trusted. But the reality is that I have done the very same thing. Dating someone new, taking a peek around just to make sure they are who they say they are, basically snooping. Snooping is a bad thing in itself but questionable whether it's a dealbreaker.
Stealing your money, however.....that's a whole different ball of wax. However we don't know what he would have claimed he was doing unless you ask. Personally, that's what I would do if you want to continue seeing this person.