Marxist-Humanists believe that this will eventually lead to completely new human relations. Exactly what those will look like cannot be predicted this far ahead of time. If by work you mean mere labor, then no. People labor for free all the time. Linux, the only computer operating system with even a small chance of competing with Microsoft's Windows, was developed on a volunteer basis with no monetary incentive.
Human beings are naturally productive.
We do not like to sit on the floor and stare at the ceiling for weeks. We'll get bored and go do something. That, however, is not a problem for us because we intend to abolish that kind of work. It will be unnecessary because all work that no one want to do that is necessary for survival will be automated. If it isn't necessary for survival and no one is willing to do it then it's probably not worth doing in the first place.