In the evening, Wwe had dinner at a nice restaurant in Sydney and we enjoyed chatting over dinner.

Grammar and usage of the article (a): “we went to a zoo” “they went to visit a relative of hers”

My friend and I stayed at the same Hhotel and in the same room.

“I stayed at her house until midnight.” “I stayed at this nice hotel.”

“They were in the same room.” “She was in the room.” “We shared the same hotel room.” “We stayed in the same hotel room.”

I wanted to talk a lot with herto her a lot more but I fell asleep without takeing a shower.

Revise grammar: gerunds (taking, eating, walking); “She was taking an evening stroll.” “I left the room without saying goodbye.” “I studied without eating or taking a break.”

We typically say, “she is talking to someone.” “I’m talking to you.”

I corrected your sentence to “a lot more” because this implies that you didn’t talk to her that much, and is reflecting on the past, and demonstrates you had a wish to talk to her more. I hope it all makes sense!

I might behave been tired/exhausted.

You are reflecting on the past, and writing in past tense. Therefore, you need to use the past perfect (I had been + adjective/past participle). “I had been tired.” “I had been sleepy.” “I had been angry.” Etc.

The next day, I waoke up early and we talked a lot.

I wake = present. I woke = past tense. You are writing in the past tense therefore you must use the past tense. I would recommend revision of verb conjugation and usage of the past tense.

Again, I talk = present, I talked = past

And she want to hasbecome/ve self sufficient.

Become or be is appropriate here, because it is something she wants to be. “I want to be more studious.” “I want to become more considerate.”

She has breakfast at around eleven am and she has dinner at six pm.

At around + time = the colloquial phrase. “I’ll get back at around 5.”

“I’ll be ready at 5PM.”

She told me that it's very important for digestion.

Digest = the verb. Digestion = the noun.

Sometimes she preaches like a teacher and mother but I like her.

Spelling; preaches.

In the evening, Wwe had dinner at a nice restaurant in Sydney, and we enjoyed chatting over dinner.

My friend and I stayed in the same Hhotel andin the same room.

I wanted to talk a lot with her, but I fell asleep without takeing a shower.

I might behave been tired/exhausted.

The next day, I waoke up early, and we talked a lot.

And she wants to hasbe self sufficient.

She has breakfast at around eleven am and she has dinner at six pm.

We usually use prepositions before time, but it's still understandable even if you don't use them

She told me that it's very important for digestion.

Sometimes she preaches like a teacher and mother (would), but I like her.

In the evening, Wwe had dinner at a nice restaurant in Sydney, and we enjoyed chatting over dinner.

Use the lowercase version of the pronoun we when you have a transition sentence.

My friend and I stayed same Hotel and sameat the same hotel room.

I'm assuming that you and your friend are staying in the same room, so I corrected your sentence to say that you're staying in the same hotel room.

I wanted to talk a lot with her a lot, but I fell asleep without takeing a shower.

Edited for more natural phrasing

I might behave been tired/exhausted.

Use the past tense of to be in this sentence.

The next day, I waoke up early and we talked a lot.

Use the past tense of the verbs, to wake up and to talk, since the event has already happened.

She told me that she wants to be more healthyhealthier and more self-sufficient.

And she want to has self sufficient.

I combined this statement with the previous one for more fluidity.

She has breakfast around eleven am, and she has dinner at six pm.

I'm unsure if your friend has dinner at 6 pm or around 6 pm. Also, when telling the time with the 12-hour system, it's more common to use numerals instead of spelling out the numbers.

She told me that it'seating meals are very important for digestion.

I'm assuming that your friend thinks that eating is very important for digestion.

Sometimes, she preaches like a teacher and mother, but I still like her.

In the evening, Wwe had dinner at a nice restaurant in Sydney, and we enjoyed chatting over dinner.

My friend and I stayed at the same Hotel andin the same room.

I wanted to talk a lot with her, but I fell asleep without takeing a shower.

I might behave been tired/exhausted.

The next day, I waoke up early and we talked a lot.

And she wants to hasbecome self sufficient.

She told me that it's very important for digestion.

Sometimes she preaches like a teacher and mother, but I like her.