Your orchid is a beautiful, fragrant bifoliate Cattleya species. When healthy, they need to be watered well and then allowed to dry out between waterings.
It would love to have as much early morning sun as you can give it. 3 hours per sunny day would be ideal. It is very hard to get roots to resprout since they typically make new roots as the newest growth mature. They usually bloom once a year, rarely twice.
I have grown them potted or mounted. Clay pots are best. They like humidity from 40-70 %. Only fertilize once a month. Flowers are about four inches wide and fragrant.
Once happy, they do lot like to be repotted and many times will " wander" out over the edge of the pot. They will be fine. Orchids are epiphytes which means that they attach to a host for support only. They are not parasites. Roots need air to survive so never use potting soil.
This is one of my favorite species of all time!! Good luck! Welcome to our forums and the world of orchids!!