Sorry, but that is not the way to wire that driver to an Uno. It will not work that way, no way.
There are 2 ways to go. Wire all of the - terminals to ground and each + terminal to an output pin or wire all of the + terminals to Vcc and the - terminals to output pins. I would go with the former. That is shown in Figures 3 and 4 of page 4 of the manual that you linked.
Then to control the stepper you can write your own code. See Robin2's simple stepper code. Or use a library that is written for that type of driver. The Stepper library is not. Like I posted, the AccelStepper library or the MobaTools stepper library are written for that type of driver.
You may be able to leave the enable disconnected and the motor will run, but check the manual.
The stepper basics tutorial may be of interest.