You know, I've never felt the need to check up on my husband. Not when we were dating, not when we were engaged, and definitely not now. When we were first dating, I told him that the most important thing for me in a relationship is communication and honesty. Be open with me, and don't lie to me, that's all I ask.
He'll usually tell me what's going on anyway, because he wants my opinion. The only time he won't tell me something is if he knows it stresses me out, and even then, he'll tell me enough so I know what's going on, but not too much so I don't start stressing.
And I have all his passwords to deal with things, though I rarely remember them. Everytime I need to do something for him I usually have to get his password again. A lot of times he asks me to check his e-mail and read it to him over the phone if he can't get a computer. And he never reads his snail mail, so if I see something that looks like it might be important, then I will open it so I can make him aware of it.
If you have to check up on the person you love, there's a problem. Why do people get so involved with people they obviously don't trust?