What does it mean when someone likes me on Jitterbug, it's beautiful and sweet?

It means to appreciate you.

The word "like" is used to refer to approval of a favorite. The word comes from the like function of the online community. The number of likes sent and received, the preference of giving likes, etc. can reflect to some extent what kind of person you are and what kind of state you are in.

After all, the Internet is a virtual world, and you can't trust it too much to avoid being cheated.