A ti no te gusta jugar el piano

Duolingo says this means "You don't like playing the piano." Why isn't it "You don't like to play the piano" ? Or is that really the same meaning?

In addition, what is the difference between these two sentences? Does the meaning change when the "A tí" is removed?

• A tí no te gusta jugar el piano.
• No te gusta jugar el piano.

And shouldn't Duolingo have used Tocar and not Jugar?