What tools do I need to carry when riding tubeless? I'm thinking of getting a pair of tubeless ready wheels for riding on the road.  I've never ridden tubeless and was wondering what tools and equipment I need to carry to fix a flat?

Normally, while riding with clinchers I carry a spare tube, CO2 and nozzle, tire levers, a small multi-tool and allen wrench. 

What should I carry for riding road with tubeless tires?
Anchovies and a fork.

I don't mean that as a snack :) They are actually small "rope plugs" made of butyl rubber that can be plugged through the help of a "fork" when the puncture is more nasty and when you see the air is leaking from the tyre. They are called anchovies in the MTB circle, but they can be used on road tubeless tyres as well. You can read up more about that in this review, where they were tested on road Schwalbe One tyres: https://road.cc/content/review/183575-genuine-innovations-tubeless-tire-repair-kit