I got up late today.

The weather outside is very good today, but still very cold. I got up very late.

This part is pretty good!

Now I am just get up soon, and now my hair is messy, not wash gargle, sitting in front of a computer.

I think this is what you are trying to say: "I just got up. My hair is messy, and I have not washed or gargled because I am sitting in front of a computer."

I hope my English can progress every day! ~

This sentence is perfect. If you keep practicing you will do well!

I got up late today.

The weather outside is very good today, but still very cold.  I got up very late.

Now I am just get up soon, and now my hair is messy,

I have just gotten up, and my hair is still messy.

not wash gargle, sitting in front of a computer.

I still haven't washed my face, brushed my teeth, or gargled.

I hope my English can progress every day! ~

Yep, you can even learn English with stinky breath.