It's why the carb has to be sealed (that 'n to stop it spraying fuel round your engine bay)...
The boost pressure is also fed to the float chamber*, so the venturi still creates a pressure differential to push the fuel up the jet the same as on a N/A engine - just at a higher base pressure than atmospheric.
*turbo carbs have foam filled floats so they don't crush, and upgraded needle valves.
An extra factor is that the venturi really works off the velocity of the air going through it, so it can't compensate for the boosted air being denser. That's why there's a restrictor in the plenum chamber, the air going in to the throat of the carb has to go through it, while the communication passage to the float chamber is upstream. So, as the boost rises, the pressure seen in the float chamber rises an extra bit more and more fuel goes up the jet to keep the fuel/air ratio inline with the increased air density.