Cooking... you have the internet. There's recipes everywhere, for basically everything. Look at what food stuffs you have available, give a search online, see what pops up. Other than that, read the directions given, follow the directions given, and keep an eye on what you're cooking. Basic cooking really is no more complicated than that, and gives a firm basis for branching off into more advanced things. As for basic kitchen implements, if you've got a pot to boil water with and a pan to cook stuff, you have a tremendous body of material you can produce. Even without that, you've got a lot you can do. Cooking really doesn't take much unless you're getting incredibly fancy, and even then you can do a lot with a very limited tool set. Especially if you have the right seasonings and spices~
Painting... which sort of painting? Artistic, or just, like, painting walls a single color? The latter... again, internet, if you're looking for detailed instructions. Mostly you just paint up and down until there's an even coat, and move along. Make sure you don't have too much paint on the brush or (preferably, it tends to go a lot faster and produce a more even paint job) roller. There's not terribly much too it.
Sewing, I can't help with, ha. Depends on what sort of sewing you want to do, too. Just repair work, full textile assembly, etc. Again, though, if you've got internet, you've got a massive resource of tons and tons of free material. Local library (or libraries) almost certainly will have manuals for varying sorts of cloth work, as well.
Actually, if the library doesn't have texts on hand (or able to be called in via interlibrary loans) for all of that, I would be incredibly surprised. Cookbooks and sewing guides are common to have on hand in libraries, if my experience in them have been any indication, and art texts are fairly common as well.