Yesterday I was pretty bored andso I watched 'The Matrix' of 1999 movie.

I feel like the word “so” would fit better than “and” as you watched the movie *because* you were bored

The main character it's calls named: Neo or Thomas A. Anderson. (he has 2 lifves, lmao).

1.!In English, unlike Spanish, when talking about someone’s name we almost never say “she is called”, “he is called” etc. We simply just say “Her name is”. In this case though, with the way you structured your sentence, I think the phrase “he is named” works best
2. Whenever a word ends in F, the plural version changes that to a V
Ex: leaf —> leaves, wife —> wives

At the beginning of the movie we can see Thomas Anderson, a software developer who sells ilegal items (I'm not prettyquite sure what he sells, the only thing that I know is these stuffthings are ilegal because he has lawsuits against him).

These words fit better than the ones you used

At the beginning, he looks pretty tired of his current life, h. He can't sleep and he's always pale, but in one of these scenes, he gets an email arrives andthat says something like: ' “follow the white rabbit'”.

We almost never say “an email arrived”, we normally say “they got/received an email”

At that moment, he doesn't understand pretty well what is happening, but somebody knocks on his door, and in that moment it’s when he realizes the email isn't just a random email.

He looked at the couple of customers, a male and a female, t. The female has a white rabbit tattooed on her neck.

I’m assuming he answered the door, so you should say he looked at them or something like that

They asked him why is he towas so pale, and he only says that he's pretty tired and he's having weird dreams, t. They invited him to a party to distract himself and he agrees because the email said: 'Follow the white rabbit' (the female).

When they went to the party, he was alone in a corner, then a random girl arrived and she presentintroduced herself to him, sh. Her name was Trinity.

These phrases sound more natural than the ones you used

This is only the beginning, after that occured a lot of things more., many more things occurred.

The way you strutted the end of the sentence is not correct

In resumeconclusion, Neo or Thomas A. Anderson is the 'one', they've been (the resistence against machines) they’ve been looking for him, since the day one when the machines took the power, and the only one that could fight and defeat thosem is our protagonist.

Today I wanna watch the second part of the movie, at least for me it is a master piece and I'm so hyped about what will occur in the second movie.

(I know it is an oldie one, but I had never seen it before, so let me be happy!