What did each side of the French Revolution want?

The simple answer is that the Revolutionaries wanted change and the existing French government under King Louis XVI desired to maintain the status quo. At some point one side or the other was going knuckle under, yell uncle or call it quits. If that failed to transpire "Heads were going to Roll" (Pun Intended)

They got change, bread and hope.

King Louis got to face the guillotine.

As an unintended consequence the Citizen's also were allowed to participate in the Reign of Terror, the reign of Napoleon and the creation of a French Empire.