My daily routine

Everyday I wake up early and study a little (because in at the end of the year I will take do a test for to do another University course). After that, I organize my room then and I go to my internship. after that, In the afternoon , I go to my college (I am studying to be a kids teacher, but I don't like it very much), After my classes, that I go home, except on Tuesdays, this day when I go to my English course.
Normaly, at night I read some books or watch some movies with my fiancé.

Not bad.

Suggest that you don't always use "After that" especially to start a sentence.  The "." gives it a logical break.   If you have to, use other synonyms of the word (e.g. subsequently, then, etc.)

My Daily Routine

Everyday I wake up early and study a little (because in at the end of the year I will do a test to do take another University course). After that, I organize my room and I go to my internship. after that Then, in the afternoon I go to my college (I am studying to be a kids' teacher, but I don't like it very much). After that, I go home, except on Tuesdays this day when I go to my English course.
Normaly, At night, I normally read some books or watch some a movie with my fiancé.

'After that' is repeated too often. Try to use an alternative time expression.

First of all, then, then later, much later, finally.