If she got me sussed, that means she understood my motives and methods. Usually this implies competition or conflict of some kind, i.e. the knowledge gave her some advantage: I couldn't fool or surprise her.
She got me measured: I only know the literal meaning of this, which is that she asked somebody to measure my size. My mother got me measured every year when I went for my new school suit. There may be a slang meaning that I don't know, but I think it will be rare.
The slightly different wording "she got the measure of me" means the same as "she got me sussed".