Does it sound good?

Dear Sir or Madam,
I am a student at Novosibirsk State University of the Institute of Humanities, specializing in Linguistics. I would like to undergo a study program at your university as an exchange student so that to gain new experience in the sphere that I study.
I believe that in Linguistics it is important to overcome cultural boundaries and to be able to communicate in the environment where a foreign language is spoken. I also consider finding new approaches to learning and work and different problem solutions necessary, so the experience of studying abroad could provide me with priceless knowledge and skills, which would help me improve in my field.
I am certain that a year in your university will also help me to improve the skills I’ve gained in my university so that I can become a successful specialist in the future.
Studying in Germany is a great experience for me as for a person interested in learning foreign languages. I would really love to improve my communicative skills and familiarize myself with one of the richest cultures, which so far I could only read about.
I hope that my application will be accepted.

Sounds great but here are some corrections..

Dear Sir or Madam,
I am a student at Novosibirsk State University of the Institute of Humanities specializing in Linguistics. I would like to undergo a study program at your university as an exchange student to gain new experiences in the sphere that I study.
I believe that in Linguistics, it is important to overcome cultural boundaries and to be able to communicate in an environment where a foreign language is spoken. I also consider finding new approaches to learning, working, and problem solving necessary to the experience of studying abroad. This could provide me with priceless knowledge and skills which will help me improve in my field.
I am certain that a year in your University will also help me improve the skills I’ve gained in my University to help me become a successful specialist in the future.
Studying in Germany would be a great experience for me as a person interested in learning foreign languages. I would really love to improve my communicative skills and familiarize myself with one of the richest cultures of which so far I could only read about.
I hope my application will be accepted.

good luck 👍