In my experience, you aren't really tested or anything when you do Skywarn training. You go to the class(s) and you get certified. But if you want to go over some of the material in advance, I recommend:
This YouTube video of a Skywarn class (it's from a class in Ft. Collins CO back in 2011, but still will cover a lot of the same info)
Also,
here's a YouTube playlist from the NWS office in Norman covering Advanced Spotter Training
Finally, here's the
Weather Spotter's Field Guide, from the NWS. The date on it also says 2011, but I didn't see a newer version online.
My Skywarn training class was in Centennial CO, and while they covered the basics they also went into more detail regarding local weather phenomena which I found pretty interesting and helpful. That first video I linked may go into that for Colorado; it's been awhile since I watched the whole thing. You might get some of that in your training for your area.
Additionally, the guys who did my Skywarn training were also involved with ARES and amateur radio. You might look into that as well if you're at all interested in HAM radio communications for chasing.
I have more information and links (as I'm sure everyone here does) if you want to dig more into chasing. For me, spotter training was a good place to start but there is so much more to learn if you want to progress into chasing.