As I've remarked elsewhere recently, though, as native speakers we imbibe a lot of the rules of grammar without knowing that there actually are rules, let alone what they are called. The more widely we read in good literature -- in this context, most likely something written some while ago -- the more we subconsciously take the rules on board. For instance, I knew about subjunctives -- eg "I wouldn't do that if I were you", not "if I was you" -- long before I knew what they were called and why they are as they are (actually I still don't know why), and the same with gerunds eg "My being here is no accident" rather than "Me being here".
I don't think it is necessary to know the technical names for these things -- which is just as well, as I know precious few of them. I do think it is necessary to have sufficient basic grasp to feel when a sentence is right or wrong, and to have sufficient drive then to find out more. However, while it isn't imperative to know everything unless you want to be an editor (and not even then if the sub-editing in the paper I read is any guide) the more you know, the more you can use that knowledge in your writing.
On the first day of an English composition class at university, the professor had us each write a short essay so she could identify which of five common grammatical weaknesses each of us needed to work on. My essay was returned with 0/5, which meant I pretty much aced it. The funny part is that in the next class she presented a problem and asked us to identity which part of the sentence was out of place. When nobody raised their hand, she prompted me, presumably confident that I knew the answer and could help the class out. Nope. I didn't even know the difference between a verb and an adjective.
I later learned to write much more deliberately, and in my job I routinely edit the work of my colleagues. Still, I'm not entirely clear on what exactly past participles and dangling modifiers are, though I'm confident I could recognise them as errors in a body of text.
Which is why I have my doubts about encouraging kids and teens to read whatever they want, regardless of the quality of its prose. My kids are still under 10, so right now I'm okay with them reading anything age appropriate. However, as they get older I will encourage them to read higher-quality fiction, if only so they can internalise sound language construction.