Hi and welcome to TCS,
I think your cat is a classic DSH (Domestic Short Hair) cat, the kind of cat that here in Europe might be called as European Cats.
The color seems kind of Blue, that is a shade of Grey.
She looks very like a cat I fostered exactly a year ago
Yes, a grey and white domnestic short hair. Very beautiful, lovely eyes! You will learn her personality in time, it will develop as she worms her way into your life and your heart!