Download and Install GNOME 3.16 on Ubuntu 15.04

Execute the following commands:

sudo add-apt-repository ppa:gnome3-team/gnome3-staging
sudo add-apt-repository ppa:gnome3-team/gnome3
sudo apt-get update
sudo apt-get dist-upgrade

sudo reboot

Resources:

New Features
http://www.omgubuntu.co.uk/2015/03/gnome-3-16-released-new-features-screenshots
http://www.webupd8.org/2015/03/gnome-316-released-with-new.html

Instructions for Ubuntu 14.10
http://sourcedigit.com/15453-download-and-install-gnome-3-16-on-ubuntu-14-1014-04-systems/