Thank you for saving her from the pound and for giving her a warm and loving home
She is a Domestic Shorthair (DSH) Brown Mackerel Tabby. A Tabby is not a breed but it just to describe the color patterns on the cat. Other than pure breed cats, most cats are classified as domestic.
You found the right sire to be in as in this site are many great articles to read and a very active forum. Feel free to ask questions under the respective forum pages
Also do introduce yourself and your kitty to the community in 'New Cats on the Block' under the General Forums' and get to know more cat's here. What's your kitty's name? She is lovely and do post more of her photos