A monologue is effectively just a reasonably long speech which is addressed directly to an audience. It is often in the form of a story. What it is not is conversational in style.
Why not study some classics. My personal favourites are any by Stanley Holloway, e.g. http://wuff.me.uk/monologues/10.html, or Mike Harding's 'Napoleon's Retreat from Wigan', Napoleon's Retreat From Wigan... Mike Harding
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