Maybe you will be lucky and the spoon is stuck at the top of the trap. Look at the side of the fixture for a visual aid.
Try taking a plastic clothes hanger and cutting it like the drawing. (Keep the part in red to be a hook.) Fish around and hopefully you will catch the spoon and be able to use the hook to set it free to fall into the bowl. Use plastic so it won't scratch the bowl and it will flex and return to shape as you poke around.
When I was younger, we used to have to go to restaurants and get ink pens out of employee women's rest rooms. They'd have a pen in the vee of the uniform top, bend over to flush and the pen would fall in the bowl and get flushed. I used the coat hanger hook trick many times until I got smart and bought a closet auger.
I hope you get the spoon out easily!
Paul