My fantastic day

Today , It has been a fantastic day, because I got up late, had breakfast with my mom and went to school (no need to repeat "I" more then once in the sentence and there is a space only after the " , ").
After this , I went (past tense) with my teacher to the hairdresser , to get her hair cut (this way you avoid confusion "did my teacher or the hairdresser get her hair cut")(ps, you cannot use " , " and afterwards "and"), I colored and I cut my hair ass well (or I also).

After that we went to new cafe , It´s a beautiful place. I don´t know if my teacher knows it , but I had never seen it.
I like to spend my time with my teacher, she tells me a lot of things about different themes (theme-subject, team-group of people, same pronuntiation, english is hard XD ) she knows all the things in this world and I call her Wikipedia , sometimes she isn't my teacher and this like it (not sure what you meant here, confusing this like it) , I would like to have her as (is it a male or female teacher?) friend but I know she will keep being my teacher, so I´m going to relax and enjoy the time that we spend together.

Well done, pretty simple mistakes, but keep practicing and soon you'll even be able to write a book! Good luck!