I did that what I normally do every day.

My brother gave me homework, and I did sport.

In English we'd normally specify the sport - e.g. "I played tennis", "I played soccer", "I did gymnastics"

TAnd that i's not all. I got homework's from the school, and stuff for a test.

I musted learn study for the test.

But I had read my favorite books, and watched my favorite episodeTV shows, and I had two days I was alone toalone in the house.

I watched on television and ate my favorite candy.

So altogether, my vacation was boring and normally.

I mean my father took us into a restaurant.

But until that, everything was normal and nice.

Only my homework's steered methat I did all that homework, and that I learnstudied for my test.

In addition, I am happy that the school begins again soon.

I did that what I do every day.

"That" should not be used before "what".

My brother gave me homework and I diplayed sports.

The correct word is sports. "Did sports" is not technically wrong, but "played sports" is better.

That is not all. I got homework's from the school and stuff for a test.

Missing period. "Homework" never has an "s" at the end.

I musted learn study for the test.

Musted is not a word.
"Study for a test" is better than "learn for a test".

But I had read my favorite books and watched my favorite episodeTV show, and I had two days that I was alone toin the house.

Better to say "TV show" or "my favorite episode of the TV show, ____".
"In the house", not "to house".

I watched on television and ate my favorite candy.

So together, in all, my vacation was boring and normally.

"In all" not "together".
Use "normal", which is an adjective, because you are describing a noun, "vacation". "Normally" is an adverb.

I mean my father took us into a restaurant.

You should say you go "to a restaurant" not "in a restaurant".

Only my homework's steered me and that I learn for my test.

I'm not sure what this sentence means.

In addition, I am happy that the school begins again.

You say "school begins" not "the school begins".

I did that what I do every day.

My brother gave me homework and I diplayed sports.

That is not all. I also got homework's from the school and stuff for a test.

I musted learn study for the test.

But I had read my favorite books and watched my favorite episodes, and I had two days I was alone ato housme.

I would add what in particular you are watching to "my favorite episodes". For example, "my favorite TV show episodes". You can even remove episodes altogether:
"watched my favorite TV shows".

I watched on television and ate my favorite candy.

So altogether my vacation was boring and normally.

I mean my father tookdid take us into a restaurant.

But untilother than that everything was normal and nice.

Only my homework's steered me and that I learnstudy for my test.

I'm not sure exactly what you mean by "steered me".

In addition, I am happy that the school begins again.