I'm a student.　I want to learn English so I'm looking for an English teacher (or someone to help me learn).

"so" better than "and" -- one leads to another, cause and effect:

I want to learn English --> look for English teacher
                                          --> read English magazines, etc.
 

How you write this last part depends on whom you would like to address. If you are, as I'd assume, requesting for English help from the italki crowd, you'll want to be more direct by using "you", rather than using the third-person "he" or "she." Also, since it isn't explicitly clear that the "English teacher" is "you", you'll want to begin the sentence with your request. Perhaps, something like the following:

"If you can help me with my English, that would be great. Also, if you want to learn Chinese, I can teach you too. Then, we can learn from each other."

If you're simply trying to describe your thoughts, then it's okay to use "he" or "she," as you originally wrote. However, nowadays, most grammarians (or English teachers) will likely tell you not to use only "he" or only "she" if the gender of the subject is unknown. The alternative would be to use "he/she" or replace the pronoun with the type of person (e.g. "the English teacher" or "the person I meet"). Also, some people will sometimes use "they" instead, but be careful, as "they" is plural and technically is not correct if you're only referring to one person. People will often use "they" colloquially in casual/informal situations.