I was in the National Guard. The Guard does basic and advanced training with the reserve and regular army. Officer and other leadership training too. Drill SGTs may even be Guard if they volunteer for it.
However, the guard does get special training in how to assist civil authority (ie, police) if it ever comes up; we even role-play what happens if your unit is called up to control a riot, and you know and possibly even consider friends, people involved in the riot.
We also get trained to assist in disasters. We get trained to assist firefighters, but mainly by doing crowd control, and taking care of victims once the EMTs stabilize them, if there are too many to transport at once. We also had to learn how to give first aid to firefighters who got minor injuries (like sprains in a fall) while in full gear.
I was called up to sandbag during a flood once, but never during civil unrest.
A sergeant in my unit, which was a mechanics unit, was a real hero, as far as I was concerned, even though he’d never served in a war. One, during a sub-zero ice storm, he took a 2KW power generator, solo, up to a city in the North, and powered a hospital for an entire weekend. He had to keep it fueled, and run checks on it, so he ate nothing but MREs, instant coffee, and a few snacks he brought with him, and he didn’t sleep more than 4 hours at a stretch for 4 days. He lived in the back of the van he used to tow the generator, and he had a small gas-powered generator for his own power.
The power was totally down for the entire city. I’m not sure why the hospital didn’t have its own back-up generators; maybe they didn’t have maintenance for them, so they were automated, and good for just a few hours, or maybe they weren’t properly maintained, and didn’t all come on. That actually happens a lot.
In fact, a little hijack, but if you are ever choosing a hospital in advance for a procedure, one question you should ask is about their back-up power plan.