Hi, I have a few suggestions for you:
I have looked at it as just a machine that can help me type and organize documents.
Since you are using past tense in the first paragraph, I think it may help if you change 'have looked' to 'used to look'
However, my understanding of the computer has changed completely when I was 16 years old.
In 2003, I was chosen as a gifted student among 60 others in [CITY] region, [COUNTRY]. I was nominated to finish the enrichment program in the field of computer science and information technology.
I think you should combine these two sentences to improve the coherence, because usually it is 'chosen to do something'. I was thinking, maybe you can change to something like this: "In 2003, I was chosen, together with 60 other gifted students, to finish..."
The 2 months program was focused on developing the students' abilities in computer science, thinking skills, and research skills. During which, I developed, for the first time in my life, a library management software.
I joined the college of computer science and information technology in [XXX] University in [CITY], [COUNTRY]. I earned my bachelor's degree with a major in information technology. During that time, I enjoyed learning about: Artificial Intelligence, Web Applications, Operating Systems, Computer Security, and Data Structures. All of which helped me in building my fundamentals in the computer science field.
I think that in these two cases it would be better if you join all the sentences together. The new sentence will be quite long, but it sounds less abruptly cut off.
This project helped me develop my abilities in working with networks and databases and programming for mobile devices.
Change and to a comma, don't have two 'and' consecutively
Since I came here, I was enthusiastic about earning my master's degree in the States and learn more about my field.
was--> has been?
I thought I might go back to my country with a higher degree and I will have more career options.
I would change to something like this: When I go back to my country, a higher degree will give me more options to pursue my career.
with a number of employees from the computer science department and the international office. They were very friendly and helpful.
You may want to link these two sentences with "... office, who were..."
Overall, I think you essay is an interesting read, especially the part about your project. However, I think you can elaborate more on the difficulties you have in your career choice and why was that so (perhaps because of your country?). Other than that, good work!