Isaiah, I've just spent the past couple hours reading your thread...the others are right; you are a gifted writer!!
Just a quick background so you know where I'm coming from: H and I've been married 14 yrs; last dec. i got an out-of-the-blue "i want a divorce". He's mostly living with the OW now, and i'm [im]patiently waiting, trusting God til it fizzles out. Then i hope i'm in the same position you are in now. (my threads are all in 'separated')
my gut feeling about the email: in a sense, you are both trying to prove yourselves to each other; your H for being faithful and committed to your marriage; you, for learning to control your feelings and reactions to your fears.
Since your H gave you access to the computer as a way of gaining your trust and proving his trust-worthiness, i think it would be appropriate to let him know about it, and what your feelings were.
I would tell him 1-that you appreciate his openness, and that you respect that about him.
2-that you don't feel compelled to check 90% of the time, but whenever the fears/doubts get hard to handle, instead of bringing them to his attention and/or causing an argument, you check and are reassured by the lack of anything to worry about.
3-because of this new confidence in him, you want to mention that you DID see the email(s) from the old g/f and are NOT worried that anything inappropriate is happening, but that since you both know how these things sneak up on a person, you just wanted to mention it might not be a good idea to continue
4-BUT that you trust him to do the right thing.
I say this because it might accomplish the following things: show your H that you are taking time to reflect before reacting; that you are gaining trust in him and believe the best instead of the worst FIRST, that you can be vulnerable and share your feelings in a non-threatening way, and lastly, that you trust him to behave in a proper manner about it without checking up on him.
Just my opinion, but its because of the need for trust, openness, and safe communication between you and this might be a way of showing growth in that respect.
but again, its just my opinion and you know better what might/might not come of it.