You could start with something like
$.ajax({
url: 'http://ws.audioscrobbler.com/2.0/?method=artist.getinfo&artist=Cher&api_key=2b35547bd5675d8ecb2b911ee9901f59&format=json',
success: function(data) {
alert(data.artist.name);
}
})
As you can see data
is in json format, so you could access its properties using the dot notation.