moving itunes library in Mountain lion from hard disk

My iTunes library is on a external hard disk with the rest of my old computer's stuff , I want to transfer all my music in my new iMac , I want to make sure what I am about to do is correct...

iTunes is turned OFF on the new iMac , the external hard disk is plugged in the computer and the finder window is opened where I located the iTunes blue file,

In the new computer finder ,I located the blue file "iTunes media" in users/music/itunes/itunes media

Do I simply drag the first file in the other one ??