How do i create my 1st Qt application
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Why not starting by consulting the "Online Reference Documentation":http://doc.qt.nokia.com/4.7-snapshot/gettingstarted-develop.html ?
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You could also publish your creations on http://qt-apps.org/
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It's very nice to have you here.
I guess that you are not very familiar with c+.In that case you can go here for help.
You must have in mind that Qt is a very powerfull framework,which means that is(Qt) offers you everything you need.You will not have to use a lot "pure" c++,see QString.
Both open source and closed source software can be release free of money.
After that you will have to decide if you want to write open or closed source, imo it better/nicer to stay close to open source since you will be able to get some good feedback.You can host your code either it gitorious.org or in github.org.
*gitorious is open source(without an issue tracker)
*github is closed source(with an issue tracker)If i were you i would read some existing code,from open source projects.
One of these is KDE,vlc,meego.