gnome-software software package provides Software Center for GNOME, you can install in your Ubuntu 16.04 LTS (Xenial Xerus) by running the commands given below on the terminal,
$ sudo apt-get update $ sudo apt-get install gnome-software
gnome-software is installed in your system.
Make ensure the gnome-software package were installed using the commands given below,
$ sudo dpkg-query -l | grep gnome-software *
You will get with gnome-software package name, version, architecture and description in a table
| Distro | Ubuntu 16 04 lts xenial xerus |
| Section | GNOME |
| Package | gnome-software |
| Version | 3.20.1+git20160420.1.ca63436.u |
| Description | Software Center for GNOME |
| Sub Section | GNOME |