Is my improvement decent, and if so how can I keep it up? This question may seem vain, since I'll talk about my improvement on chess, but I really want to have a measure of my learning curve and a notion of whether it is bad, regular, good or excellent, how to improve it if it's not excellent and how to keep it excellent if it is. So this is all about chess learning.

I know the rules of chess since the age of 4, but never played it often. I probably played around ten games from the time I was four to the time I was 21 (never even had a chessboard at my home), when I really started playing (this was June past year, so ten months ago).

I really started playing as I said on June 2019. I created a Lichess account and was rated 1100 on Classical chess. Ten months later, I am rated above 2200, so I gained over 1100 rating points in less than a year. I'm proud of this improvement, but I don't really have any comparison standards, so maybe it's a regular rate. I don't really know.

On the other hand, my Blitz rating is still quite low in comparison to Classic: a little bit above 1600. So my improvement has not been the same when it comes to thinking fast or mere intuition, since clearly I need to have a fair amount of time to find the right moves.

I'm really invested at becoming a CM, so analyzing and understanding my learning-curve and improvement rate is very important for me. I dedicate a lot of time to chess (studying and playing), and I want to know how much that's paying off.

If my improvement is below good (since let's face it, at Blitz I'm still simply weak), how can I accelerate it, specially on fast time formats? If my improvement is decent, how can I keep pushing further? Because now that I'm above 2200 Classic elo I'm beginning to face very strong players (I played my first titled opponent recently) and I want to keep up with them.

Sorry if my question is vague, I hope you can appreciate how important it is to me to understand myself in regards to my chess learning.
Going from a beginner to being rated 2200 on Lichess in a year is a very good rate of improvement. Would you mind elaborating on what you did to get there?

Still, a Lichess rating isn't always an accurate representation of strength, and it's possible you could be somewhere between 1600-1800 ELO over the board. The only way to find out is to play rated games OTB and see. This could be useful in figuring out how to continue your training.

For continuing, it seems like whatever you're doing is working well (I wouldn't worry about trying to accelerate your progress, if anything it will start to decelerate soon). If you really are 2000-2200 strength, you could consider getting the GM Preparation books from Quality Chess. The Great Predecessors series by Kasparov is also recommended. In addition, you should put together a solid opening repertoire, perhaps using Chessbase. You can buy opening books to do this, or research on your own (you might need help at first if you've never done it before). A good endgame book would be useful as well. I assume you're already doing this, but solving online tactics is important for sharpening your tactical intuition. You could also consider finding a coach in your area, but this depends on how much you want to spend to reach your goals.

Most titled players took years to get where they are, so I wouldn't give yourself the pressure of reaching their level so quickly. For example, I only got my FM title after playing for roughly 12 years. Building up a good intuition (which helps in blitz) comes from lots of practice, and isn't really something that can be gained very quickly.