Today I'm gonnaing to talk about my last trip that I had on last Sunday, I went to Florence with my family.

'gonna' is something people might say but probably wouldn't write. 'gonna' sounds very informal.

I am looking forward to your corrections, ¶
Bye for now.

also
I look forward to your correction.

My name's Emanuele, I'm 23 years old and I' am writing from Italy.

Cambridge does not like it when you use shortened forms of words; (I'm). Try 'I am writing from Italy'

I downloaded this app just because I have to improve my English writing forto be ready to succeed in a Cambridge exam and take the C1 level.

Just fix your grammar

It has endured just one day, I tooke advantage of my last moments of free time before I got back to work.

Correct your spelling and use some words to make more sense

The morning we left, I slept inlate, so iI was beenoke up late too, I jumped in my shower and didn' not wait for the water to heated up, a. After I picked up some clothes and unless then we started.

Make proper sentences

We came over by car, w. When we arrived, we parked the car and visited the city by feeon foot.

I dowloaded this app just because I have to improve my English writing for be ready to succeed in a Cambridge exam and take the C1 level.

It hlas durted just one day, I tooke advantage of my last free time before going back to work.

The morning we left I slept in so i was been late, I jumped in my shower didn't wait, not waiting for the water to heated up, after I picked up some clothes and unless then we started.

We came over by car, when we arrived we parked the car and visited the city by feeon foot.

We visited all the city and all the monuments, and in the end we walked up ato the Boboli gardens, f. From here we saw beautiful sights of Florence.

Just watch which preposition you are using where, and try not to just list events using commas - break it up with 'and' and full stops :)

I don't want to tmake it long so that's all.

I am looking forward your corrections, ¶
Bye for now.

I downloaded this app just because I haveneed to improve my English writing for be ready to succeed a Cambridge exam and take the C1 levelso that I am ready for the C1 level and Cambridge exams.

Rearranged and some corrections to make the sentence flow better.