HP Photosmart Premier is a standalone application that allows you to create photo projects or share and organize your pictures. Press Alt + Ctrl + Delete key combination, open the Task Manager and close all related applications. After that, try to uninstall it using Add or Remove Programs feature.
Is this doesn't work, you can use Revo Uninstaller. Even if it can't uninstall the application normally, it will force it to uninstall by wiping out all traces of its presence from the system.
After that, try running AdwCleaner to make sure that there are no leftover rogue registry keys or toolbars in your system.