Yes, most lefties do knit right handed although I know of one who knits completely left handed. If you need more help after the videos or need to print something out to have next to you (I did) then you can check these sites out as well.
Casting on will be the first thing to learn. If you have trouble with terms used in knitting there is a glossary at the tab above as well as both these links.
Welcome to KH!!