No, computing (as in general computing) will barely be affected. Computing uses semiconductors, which this (AFAIK) isn’t. Switching losses always occur unless you switch instantly, which is impossible. Most of the heat of cpus comes from there.
Specialized things like quantum computing are a different story.
What this superconductor could mean though: you could have a relatively thin cable from say, the Sahara to Europe, that can losslessly transfer energy. No losses whatsoever. So you can produce energy wherever energy is present, and use it where energy is required!