Computer, the Internet, and Artificial Intelligence have made greaall had a significant influences on our life.

I changed it to a more native phrase.

To follow the trend, or even to ride the wave, we need to grab the newest knowledge, to learn fast and to excel.

Personally i think the flow is better without the final "to".

It seems that everything just goeskeeps going like a train that will never stop.

People are always eager to know what happened.

It sounds nice to have the always/never contrast with this and the next sentence.

Letters from the post offices arrive latewere delivered slowly.

Perhaps they were not late, so much as slow. People expected them to be slow!

One's life was so short, that he treasuresd what he possesses.

OPTION A: Computers, the Internet, and Aartificial Iintelligence have mhade a great influence on our lives.¶
OPTION B: Computers, the net, and AI have had huge impacts on our lifeves.

Many other wordings are also possible.

To follow these trends, or even to ride theto keep up with emerging waves, we need to graabsorb the newest knowledge, and to learn fast and to excel.strive for excellence.

我的猜测：It seems that everything just goes like a train that will never stopas if the pace of technological change is like a non-stop train.

PMany people are eager to know what happenedthe latest technological changes.

Perhaps this age of the people? And perhaps the culture? In fact, it is almost impossible to keep up-to-date with *all* technological fields: most specialize in one or two fields.

People never leaveOPTION A: Most people I know never can't live without their cell phones.¶
OPTION B: The majority of people I know seem to be "married" to their cell phones.¶

W更自然的是：Imagine what life was like before the First Industrial Revolution had never taken place?was like!

也可能：Imagine how most people live First Industrial Revolution took place!

In those old days, horses and cabs wentmoved slow.ly.

OPTON A: Letters from the post office arrive late.¶
OPTON B: Letters from post offices arrive late.

语法：“post office”这个词现在可以用作可数名词，也可以用作不可数名词。

One's life was so short, that he treasures what he possessesAt that time, life spans tended to be short, that and vast majority people lived in poverty.

Computer, Is the internet, and Artificial Intelligence have made great influences on our life.

The internet is so commonplace now that it's not usually written with a capital I

In the old days, horses and cabs wentre slow.

Letters from the post offices arrived late.

One's life wais so short, that he. He should treasures what he possesses.

Computers, Internet, and Artificial Intelligence have made greatly influences ond our lifedaily lives.

To follow the trend, or even to ride the wave, we need to grabunderstand the newest knowledgetech (technology), to learn fast and to excel.

People are eager to know what will happened.