First notebook entry: Introducing myself

First Notebook Entry: Introducing Myself

or

I am learning the English language, because it is popular internationally, and opens a lot of possibilities.

(If you want to use the word “language” after English in the first sentence, then you should remove it from the end, because it sounds unnatural)

My native language is Russian.

(You don’t need to say language twice)

I grew up in Russia.

or

I grew up in the Russian Federation.

My hobbies are art, filmography, photography, and traveling.

First notebook entry: Introducing myself

I am learning English language ,because this language is a global international (COMMENT: Global and International are similar, I would suggest using either one, not both) language, and it opensed a lot of possibilities (COMMENT: Please provide some details as to what these possibilities are - do you mean benefits when travelling, conducting business, etc.)
Mya native language is Russian language. I grew up in Russia.
My hobbies are art, cinema , photo (do you mean photography), trip (do you mean travelling?).

Not bad!

First notebook entry: Introducing myself

I am learning  the English language ,becouse this language is global international language, it opened a lot of possibilities.
Ma native language is Russian language. I grew up in Russia.
My hobbies are art ,cinema ,photo , traveling.

First notebook entry: Introducing myself

I am learning the English language ,becouse because this language is an international language, it  will open a lot of possibilities.
My mother tongue is Russian. I grew up in Russia.
My hobbies are art ,cinema , photo , travelling.

Dear Ekaterina, it's very good of you to learn English. You're already doing great. Continue doing so!