I know the effect you are looking for, and I know how to accomplish part of what you want if I interpret "over" correctly. Meaning, you don't want to draw to the form that is displayed, instead, you want to use transparency on another form and have the text hover either over your form or even the desktop or another program. And if that is not what you mean by over, but instead mean that you want the text to look like it is hovering over the form and casting a shadow, well I know how to do that also and can easily point you in the write (pun right) direction...
and that would be the call for you to use your friends (yahoo, google, ask, answers, bing) to search for the following...
vb6 form transparency
vb6 region transparency
vb6 text drop shadow
vb6 floating text
and search for form over at planetsourcecode.com after you select visual basic and set up your search preferences or else you will end up with a bunch of .net code that will be meaningless to you...
However, the actual animation of writing something out, well I have never tried that before, nor have I seen anyone else do something like that. But I have seen examples that mimic as if someone was typing...
Now, I do know of a way that this could be accomplished with the above code you will find with those searches, but the number of graphics you would have to use would make your project HUGE!!!
So hopefully, someone else can come along and perhaps give you a hint as to how to accomplish the animation sequence that does not involve many, many graphic files, but until then, happy searching...
Good Luck