Strictly speaking, the circui isn't necessarily wrong. If Vbb is small (e.g. < 500 mV), the transistor may still work in active region without saturation. But the circuit seems at least useless because no output load is connected.
Why are you stuck to this strange circuit? Wouldn't it be better to read a profound textbook or internet resource about transistor circuits?
And it's about to helpless to expect an explanation from Edaboard users why the circuit has been setup as is.