I learnted English atin school and liked it so much from the beginning.

Learnt is correct if you are using British English. Learned is used in North America.

But things didn't work out well and I dropped out onduring the very first year.

On would be used for a specific date. For example, "I dropped out on the very first day"

I had some problems with my attitude towards the learning process and I made a silly decision to quit, which I regretted after.

Then for many years I didn't practice English so I forgot thea large part of the knowledge I had.

I've gone back to get my bachelor graduation's degree and now I'm studying computer science.

I'll be graduating next year and I want to take advantage of a government project that helps students to get their master's degree inat one of the foreign universities.

One of the requirements to enroll is to get IELTS certificate of grade of 6.5 or higher.

English was one of my favorite subjects, and I was pretty good at it.

But things didn't work out well, and I dropped out on the very first year.

I had some problems with my attitude towards the learning process, and I made a silly decision to quit which I regretted after.

Then for many years I didn't practice English so I forgot thea large part of the knowledge I had.

Or:
- much of
- most of

The definite article isn't used here because you aren't talking about a specific, "definite" part.

But still, I had enough comprehensionmy comprehension was good enough for me to read books, which helped me learn programming.

No comma: I would interpret the sentence as being about "books which helped me learn programming," in other words, books teaching people to program. In this case, it would be equivalent to something like "my comprehension was good enough for me to read technical books."

Comma: I would interpret the sentence as being "Since my comprehension was at a certain level, I could read books, and that helped me learn programming."

I've gone back to get my bachelor graduation's degree, and now I'm studying computer science.

I'll be graduating next year, and I want to take advantage of a government project that helps students to get their master's degree in one of the foreign universities.

One of the requirements to enroll is to get an IELTS certificate of grade 6.5 or higher.

Nevertheless, now I enjoy learning, and even if wI don't get into the projectgram, I want to improve my English to thean advanced level.

I learnted English at school and liked it so much from the beginning.

English was one of my favorite subjects andthat I was pretty good at it.

After school, I went to university to become an interpreter.

But things didn't work out well, and I dropped out on the very first year.

I had some problems with my attitude towards learning process, and I made a silly decision to quit which I regretted after.

Then, for many years, I didn't practice English, so I forgot thea large partchunk of the knowledge I had.

This sounds smoother

But still, I had enough comprehension to read books which helped me to learn programming.

I've gone back to get my bachelor graduationdegree, and now I'm studying computer science.

I'll be graduating next year, and I want to take advantage of government projectgram that helps students to get their master degree in one of the foreign universities.

Nevertheless, now I enjoy learning and even if won't get into the projectgram, I want to improve my English to thbecome more advanced level.

You can also say "I want to improve my English to C1" (C1 is one of the different language levels, there's A1, A2, B1, B2, C1 and fluency)