Well, kind of, but only enough to pay rent and eat.
But that's my point, individuals like this, who only work the bare minimum to just keep existing and have no drive or motivation to achieve more, are very likely to just not work anymore at all since their basic needs are now provided.
At the moment, they at least work somewhat. This helps keep local businesses running (even if just barely). With a BI, these folks stop all production and resort to their ideal lifestyle of not doing anything.
It's a little naive to think these individuals will suddenly change in light of all this new-found free time, and run out to create businesses or new things.
We can examine lottery jackpot winners for evidence of what many people would do if they didn't have to worry about money anymore (they do nothing in large part).
I just don't see any scenario where a BI leads to increased productivity like what is being claimed.
In contrast, I can foresee unemployment rates increasing, as fewer individuals participate in the workforce at all (to no determent of themselves, since their standard of living is provided free of cost). This will ultimately put strain on the system since not enough production is happening to offset this behavior, which will lead to drastic measures like dramatically increasing tax rates more and more.
I just don't buy the argument that giving someone a free living without any expectation of productivity in return will lead to a net increase in productivity.