—but you would not need to enter a conviction.
Generally crown counsel prove the murder and the sexual assault or the kidnapping, but not both. However, in a case such as that of Luka Magnotta, the actual murder contained enough evidence of the elements, so it wouldn't have been hard to prove all three and to get convictions for all three. That is not normally what prosecutors do.
My long answer to your short question is yes, there is some overlap, but the distinguishing characteristic of Bill C-587 is that it requires three convictions, not one.