Vic may correct me, but I believe the cable to the motor may have a connector for the lidar board but is soldered at the other end to terminals on the motor or spliced to wire leads supplied on the motor (unless it goes separately to the Neato system board -- examine it). You would solder and use a bit of heat shrink tubing or tape over the splice at the motor end. If you do not solder, smallest twist wire nuts in hardware stores could be used (why leads are supplied on the motors). Preserve the original cable with the lidar or system board connector. (You will find several items in the Neato wired this way, with sensor boards soldered to cables, while others have little plugs on the sensor boards as well as the system board end.) As other users have found with replacement motors the black wire had to go to the terminal marked positive on the motor for the proper rotation direction (the original motor appears to be special order for Neato, different part number, which may have different internal connections).
You are going to have to pull the press fit pulley off the original motor and transfer to the new motor shaft. I am not sure whether this requires a special tool. You might be able to get leverage under the pulley with something or just pull with pliers. Ask Vic, expert on such mechanics.