Was the French revolution worth the bloodshed?

Absolutely not. About 40.000 people got innocently murdered.

The reason why the revolution was started is to be understood. The people were starving while they saw the nobility, clergy and their royal family bathing in wealth. That wasn't right and had to change, yes. But a constitutional monarchy would have been the best option. That way, the King would only have been king in name but keep his stature, and the country would have been reigned by cabinets formed of the bourgeoisie, nobility and clergy.

Unfortunately, the French chose the most violent way imaginable, and murdered everybody that stood in the way (or even dared to think differently) of the revolution. Absolutist power is always dangerous in the hands of a monarch as well as in the hands of a movement (in this situation, the National Assembly).

On the other hand the French Revolution abolished serfdom and absolutism in France. The National Assembly. the 3rd estate was 97% of the population and since the clergy and nobility always sided together they were oppressed. Napoleon was a dictator but he did reform the educational and judicial system.