UBI doesn't prevent you from looking for work on top of it - that's what "unconditional" means here.
In a system where people don't usually feel an economic compulsion to work if they are at all able (which is probably not a UBI at the poverty-support level usually suggested as a near-term goal, though that might have a shadow of the same effect) you'd have a lot fewer people running into that problem; they'd learn and organize their life around it when they were much younger.