Papyrus Designer is an extension of the Papyrus modeler. In order to install it, there are three different methods
1. The easiest way (if Papyrus is not already installed) is to install the Papyrus SW designer RCP available here.
2. Install Papyrus Software designer via the Eclipse market place.
3. Open the standard Eclipse installation dialog (Help->Install New Software). Within, select its update site: http://download.eclipse.org/modeling/mdt/papyrus/components/designer/.
A good starting point for Papyrus Designer are example models enriches with comments. These examples are available via File->New->Example, category "Papyrus" examples.