About My Best Friend

I met one of my best friends in Osaka yesterday. I saw her first (time) when we were high school students. As I was a transfer student, I didn't (don't) have any friends and I was very nervous. Then, she spoke (talked) to me "Hi, What's your name? ". We got to be best friends soon after.
Five years have (had) passed since and (from then,) we sometimes hang out at a cafe. We also travel (go out) to various places: Tokyo, Yokohama, Nagoya, and USJ! haha
I want to be her best friend now and forever!

Please help me with my English and (& please) send your comments:)

Shioli, you should use 'friends' as she is one of your friends. You don't need time, you can just say 'I saw her first' or 'I first saw her' - either is correct. You are writing about something which happened in the past but have suddenly switched to present tense, so need to say 'didn't'. 'Spoke' sounds more natural as if you had just met someone for the first time, we would generally say the person suddenly 'spoke to me'. 'Talked' is okay but 'spoke' feels more natural in your sentence. In the sentence commencing 'five years..' you are now brining us up to date, so need to say 'have passed'. Overall, your English writing is advanced and your grammar is very good.  

About My Best Friend

I met one of my best friends in Osaka yesterday. I saw her for the first time since when we were high school students. As I was a transfer student I don't didn't have any friends and I was very nervous. Then, she talked to me "Hi, What's your name? ". We got to be became best friends soon.
Five years had has passed from since then, we sometimes hang out at a cafe. We also go out to various places: Tokyo, Yokohama, Nagoya, and USJ! haha
I want to be her best friend now and forever!

she seems very sweet :) your english is really good - just a few minor errors and corrections to make your passage seem more natural. 

About My Best Friend

I met one of my best friends in Osaka yesterday. I saw her first time when we were in high school students. As I was a transfered student, I didn't have any friends and I was very nervous. Then, she talked to me "Hi, What's your name? ". We got to be best friend soon.
Five years had passed from then, we sometimes hang out at a cafe. We have also been ton various places: Tokyo, Yokohama, Nagoya, and USA.
I want to be her best friend now and forever.

Please help my English and send your comment:)