If to speak specifically about computers we weren't forbidden from having PCs indeed, but it was almost impossible to buy one for many reasons, already mentioned defitsit being probably the most important, but also let's not forget the SU was lagging behind the West technologically, and had troubles fulfilling much more basic demands than computers. Most privately-owned computer hardware were self-made in 80s in USSR, and - I'm not kidding - you had at times to deal with very shadowy guys to buy necessary electronic parts. It's definitely easier to buy cocaine in today's US.
As for original research in the USSR it was buried by central-planned socialist system which never sufficiently rewards risk-taking (and there's no riskless innovations) so no matter how cool is your idea in theory it was always easier for everyone - from engineers to gov't ministers - to just copy Western examples (USSR didn't pay royalties anyway). Exceptions were only in military field, and in situations when USSR's industry was simply unable to copy.