Superglue cures when it comes into contact with water. On surfaces with large surface areas and a thin layer of glue it will cures in a few seconds. Thick layers of glue on smooth surfaces make take a minute or two to cure as it is water vapour in the air which initiates the curing mechanism.
You can stick most materials with superglue. It works best when the edges fit well together and there is a very small gap between the surfaces. Superglue works best on rigid and brittle materials, as it cracks when on a flexible surface.
Some Superglues are designed to work on specific materials, like plastics or metals. This glue is "Surface Non Specific" so it will work on nearly all materials.Test out other super glues and see if they will stick two pieces of paper together. Many do not!