I make a lot of mistakes,. I like learning not only how to speak orand write in English but knowing how the natives tend to speak.

This works better as two sentences or "I make a lot of mistakes because I like learning..."

I think there is a big difference between thatese types of learning(?) and I get a little excited when I understand what people say.

I wasn't 100% sure what you meant by "that" so I have corrected this

And this summer especially, I started on this site and I(I) like how other people can correct your writing.

The second "I" is optional because you have used it for the first verb in the sentence. The sentence flows a bit better without it.

Summer mMistakes.

This is a title so we capitalize the first letter of important words. We don't use a period (.) to end the name of a piece of writing.

I make a lot of mistakes,. I like learning about not only how to speak or write in English but knowalso about how the natives tend to speak.

I think there is a big difference between that and I get a little excited when I understand.

And this summer especially, I started writing on this site and I like how other people can correct your writing.

Summer mistakes.Mistakes during the Summer / A Summer of Mistakes / Summer Mistakes

I always make a lot of mistakes, I like learning not only how to speak or write in English, but know how thealso to learn the way natives tend to speak.

Always implies a habit here: we always say it in this way!

‘The way’ here helps ‘tend to speak’; it implies a method, that is why I have put this!

Repeating ‘to learn’ also adds coherency :)

I think there is a big difference between that and I get a little excitedlearning that and the excitement I feel when I understand.

(event 1) and when + next event. In a comparison, if this doesn’t make sense let me know !

And this summer especially, I just started onusing this site and I like how other people can correct your writing.

We always say ‘using’ in relation to the website/service/program.
“I just started using Spotify.”

I put in ‘just’ as it implies an event that happened recently!