Considering that the Soviets copied practically everything else on the Space Shuttle, did they also make their own version of the Canadarm robotic arm?
The Soviets did develop an arm with a design similar to the Shuttle's Canadarm. The arm was called the On-board Manipulator System (SBM). It was developed by the Central Scientific Research Institute of Robotic Technology and Technical Cybernetics (TsNII RTK) in Leningrad.
It had 6 joints, was 15 m long and weighed 360 kg. Max. payload was 30 tons. It could be operated from the cockpit, but also from Mission Control directly. Buran was designed to carry two of these. On the first mission, no arm was carried though.
This is a photo of the arm in a test rig:
Source: book Energiya-Buran; the Soviet Space Shuttle (by Hendrickx and Vis).
Like other aspects of the Buran design, whether this was a copy of the US/Canadian design remains to be seen. There's a big difference between developing a system that looks similar, and building a clone from stolen plans.