No need to overthink it! It's an ordinary DC motor. The type has been around forever, but modern ones feature a sooper-dooper permanent magnet and high-temperature insulation. Smaller than the originals, and able to run safely rather hot.
All that's needed is a 24Vdc supply and controller capable of delivering about 11A. I'd overate the supply slightly to allow for stalls etc, but it isn't critical. The motor will work at reduced power output with less than 11A. I'd go for 12 or 15A, but 10A would be close enough. Amazon, ebay and others all sell PWM Speed controllers from 3A up. 15A should do.
The power supply is more of a gamble. Cheapest are the PSU's sold to drive LED Lighting Strips. Try searching Amazon for '24v led power supply' for many possibles. Second on my page was "DC Switching Power Supply, 24V 14.6A 350W for 3D Printer, LED Strip Light, Industrial Control System NES/SE/S", $28.50 Note these are components, not ready to go. They need to be boxed with attention to electrical safety.
Cheap LED switch mode power supplies are clever. Voltage regulation is good and they have over-current protection. The reason I suggest they're a gamble is a particular model might have been designed specifically for a constant current load from LED lighting, which is very different from the wildly fluctuating current drawn by a motor. It's regulator might have a nervous breakdown! In practice all four different units I've bought to power motors have been fine. The design appears to be general-purpose, not LED specific, but there's no specification.
NDIY mentioned heat, and that's what matters most. It's important the motor and power supply don't get too hot. Manufacturer ratings are guidance to that end. Anyway, using this motor to drive a Sherline means it will be lightly stressed because hobby lathes spend more time stopped or idling than they do cutting. Unless Hollowpoint is going to hammer his lathe, the motor should be fine because on average it has plenty of time to cool off.
Clive Brown questions if DC motors are unsuitable for lathes due ti iffy speed control. Universal AC/DC Motors are indeed dreadful, though many small lathes and sewing machines use them successfully. Otherwise DC motors are generally more suitable than AC single-phase motors, but they're 'good-enough' too. Hollowpoint's motor seems entirely suitable to me.
Dave
Edited By SillyOldDuffer on 23/10/2020 10:54:13