It has multiple configurations, one for crew, one for cargo, and possibly others.
This launch was significant as it was the first time they sent the crew configuration up as a demo and had it do automated docking procedures to dock (the old dragon had a more complex and manual docking procedure).
For simplicity sake, they tend to refer to this one as "Crew Dragon" to signify that it's in the crew configuration.
The progression of Falcon 9 rockets is:
* Falcon 9
* Falcon 9 V1.1
* Falcon 9 Full Thrust (also called V1.2 for a small period of time)
* Falcon 9 Fuller Thrust (I think this one was renamed to Block 4 at some point, but I distinctly remember hearing it called "Fuller Thrust" at first)
* Falcon 9 Block 5 (the current version and one that launched this capsule)
And their Dragon capsule has gone through several names as well:
* Dragon (the first version)
* Dragon CRS (an extended version with additional space)
* DragonLab (never flown as far as I know)
* Dragon 2 (cargo only I believe)
* Crew Dragon (the current one that just flew up to ISS, also technically a "Dragon 2" but with a different internal configuration.)