To continue with your apple market example, you could try to charge $2 or more per apple, but pretty soon other people will realise that they can employ their own staff to run an orchard and deliver apples to the same market at a marginal cost far less than that, and competition will drive the market price back down.
With a basic income, people's basic needs would be met and any additional income earned would be a supplement. If they agree to work for $1 an hour picking apples, then that is the price the market will bear for that particular skill and the price for a single apple will be reflective of this.
A minimum wage on the other hand works in the opposite direction. If it is set to $50 an hour, then sure, the costs of apples, along with most other things, will skyrocket, but there will also be a huge amount of deadweight loss as people simply choose to forgo employing others for many skills in the first place.