Is Self Driving included?

It means the car supports self-driving, and at the time the picture was taken, FSD was purchased/active. it doesn't mean you'll get it if you buy it. They could have subscribed 3 months ago, for 1 month, and took a photo there. If you're serious about spending a lot of money for a car, please do more research than posting a fuzzy photo of a random screen online. You can at least ask the seller to post the About page for the car which will show stats about the car. You can also ask the seller questions like this, before you hand over tens of thousands of dollars.

This picture only confirms that the vehicle in the picture had self driving available at the moment the picture was taken. There's not really a way for you to tell from this if FSD would be available at all upon sale, permanently available, or, quite honestly, even if this was taken inside the car you'd be buying. You need a picture of the info screen from the car that will also show the VIN. Be aware that "Full self driving computer" does not equal a FSD subscription or lifetime package being included. FSD just means it has the capability of having FSD enabled. The info screen will tell you specifically that FSD is an included package or, if it is subscribed it will show the subscription end date.

This is a listing from Carvana and I did asked them about it. They said that i can check it once the car is delivered.

It’s a subscription for most people. If they purchased they would list it since it increases the value of the car immensely. Small chance you got lucky and someone doesn’t know what they got.