I'll get over it somehow - I will live through this, I will learn to accept this, or, I will move something over a barrier.
I'll get it over somehow - I will manage to move something over a barrier or I will be able to communicate my message to someone.
But you gave me two examples of "get over something". I was curious about: get over something and get something over. And I was wondering whether both of them can mean that I'll live through something.
Like for example: Throw the garbage out AND Throw out the garbage - They mean the same.