Welcome @jasmine
Yes, it covers shotguns and full powered rifles too, bolt/break open/pump/semi, as your FAL will entitle you to own such.
The principles are simple: it's not nuclear physics, just safety, safety, safety. You won't learn much that is of no use to you even if you only ever own a .22 rifle. The .22 needs the same safe handling as other kind of gun, really (no child's gun as it has ten times the power of a spring air rifle).
Good luck with your license next year!
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