There are people who think that celebrities should always be openaccessible to the media and exposhave their private lifeves exposed, because of the profit they make comes from the attention of media.

I wanted to make this feel more natural. It may be a little nitpicky, but this flows better.

First of all, in the modern world every person’s privacy in the modern world must be protected.

Flow: since "in the modern world" is less about location and more about time, you're going to want to put that clause first.

Being thea part of the society, there is no doubt that celebrities have that right as well.

"Being a part" or "being part" both work here.

Therefore, the right to protect their private lifeves should be respected by the society.

The media areis overambitious in showing the private lives of celebrities.

It is not a secret, that many media resourceoutlets try to follow every step of celebrities to entertain their audience.

"Follow every step" is an expression. You could use "follow their every step" but "follow every step of celebrities" is very awkward. I would suggest another phrase, maybe "try to record every waking moment of celebrities' lives".

Most of the time, they media focuses on a dirtythe sordid side of celebrities’ lives, thatwhich attracts more people, making the media more profitableviewers, thus making more profit for the media.

"Sordid" would be more common than "dirty" here. I also reworded the last part to be more natural.

Focusing ratherInstead, the media should focus on the good stories would be better, even ifthough it wouldn’t bring thatas much money to the media companies.

Being a celebrity is a great responsibility.

Many people know about them and follow them in the medias.

Celebrities could have an impact on the opinions in societiesy, and can have an effect on social issues.

Consequently, celebrities ought to become more responsible and aware of their actions and behavior.

In today’s world, thereit is inevitably bee that people whoill become famous.

Through the media and social networks, celebrities have a lot ofthe means to influence onthe state of their societies and they should be aware of this responsibility.

There are people who think that celebrities should always be open to the media and expose their private life, because of the profit they make from the attention of media.

you rarely need a comma before because
https://www.grammarly.com/blog/comma-before-because

Being the part of the society, there is no doubt that celebrities have that right as well.

Therefore, the right to protect their private lifeves should be respected by the societyall.

celebrities is plural, so you need "lives" instead of "life"
the correct sentence would be "....respected by society" (without "the"), but I changed it to "by all", so that it doesn't sound as repetitive.

The media areis overambitious in showing private lives of celebrities.

media is singular -> is instead of are

It is not a secret, that many media resourceoutlets try to follow every step of celebrities' lives to entertain their audience.

"Media outlets" is what you meant.
Definition:
"A publication or broadcast program that provides news and feature stories to the public through various distribution channels. Media outlets include newspapers, magazines, radio, television, and the Internet."

Most of the time, they focus on a dirty side of celebrities’ lives, that attracts more peopleattention, making the media more profitable.

Being a celebrity is a great responsibility.

Many people know about them and follow them inthrough social medias.

Celebrities could have an impact on the opinions in societies, as well as and effect on social issues.

In today’s world, there will inevitably be people who become famous.

Through the media and social networks, celebrities have a lot of means to influence onthe state of their societies, and they should be aware of this responsibility.