Welcome.
Depends upon the age of your daughter and her willingness to learn.
Usually the demo songs include the lights showing, its the whole idea of helping the user in learning play where the user simply depresses the lighted key to make the tone sound. It is not really learning to play it is more like a game by learning the pattern of notes to play, and hopefully it helps to generate a willingness to continue.
There are many learning Apps available that can also be used and these provide a similar function, check out Playground Sessions, Flowkey, Skoove, Chordana and Synthesia.
As for which keyboard, if she really wants to learn and is willing to put in the time day in and day out then a lighted keyboard may not be the ideal solution as they are limited in the number that are produced whereas a standard beginner keyboard has many, many choices available from $50 to $1000 US.