Tuesday, December 22nd, Fine, 2015

I got up early in the morning. Because I had to go to school, I washed my face quickly and drank warm water. Then with my school bag on my back, I went out. The bus stop is not far away from my apartment. However I had to walk to the bus stop for 10 minutes. After waiting for 5 minutes, I could see the number 7 bus coming. The door of the bus opened, and some people got off. I got on the bus with others standing in line. After 10 minutes' drive, I could get to the bus stop where I had to get off. My school is near the bus stop. I narrowly entered the school gate. Many students were running into the school gate not to be late.
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Would you check the sample diary above? Correct errors, please. Thank you.

I got up early in the morning.

"I got up early in this morning"

Make it sound like your writing it you know? And why doesn't this dude take the school bus? because I got kind of confused when you said some people were getting off the bus but then I realized that it was an actual bus other than a school bus. But maybe a school bus would be a better choice?

(^btw I mean "I got up early this morning")

I could get to the bus stop where I had to get off. My school is near the bus stop. I narrowly entered the school gate. Many students were running into the school gate not to be late.

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Maybe:
The bus reached the bus stop near my school where I get off. I got to the school gate just in time. Many students were running to the gate so they would not be late.

Shalee's suggestion works, but your sentence is okay as it is. Damon's suggestion is a good one. "narrowly" can mean that the gate was narrow and you had to squeeze through it. I know what you mean, but a different way of saying it that more specifically describes the time factor would be better. Also, it is not good grammar to begin a sentence with the word "however". You might better say, "The bus stop is not far from my apartment, however it still is a ten-minute walk." And remember, with numbers ten and under, we spell them out. "ten minutes", "five minutes,," etc.

Tuesday, December 22nd, 2015, was a fine day. I woke up early in the morning because I had to go to school. I quickly washed my face and drank a glass of warm water. Then, with my school bag on my back, I left my apartment. The bus stop is not too far from where I live, but I had to walk for 10 minutes to reach it. After waiting for about 5 minutes, I saw the number 7 bus approaching. As the bus arrived, its doors opened, and some passengers got off. I joined the line and boarded the bus with the others. After a drive of about 10 minutes, the bus reached the stop where I needed to get off. My school is located close to that bus stop. I hurriedly entered the school gate along with many other students who were also trying to avoid being late.

The corrected version of the sample diary has been provided above.