How does glycoprotein get synthesized that is destined for the plasma membrane?

nucleus - translation to rna
cytoplasm- transcription to protein
this requires ribosomes on the RER (rough endoplasmic reticulum)
after which it is being enclosed in er vesicles
goes into GA for modification ie, add the carbohydrate part

and tada!!! your glycoprotein

DNA goes to mRNA

the mRNA has a signal sequence on the 5' end which directs it to the Ribosome and indicates whether it will be inserted into the Endoplasmic Reticulum(ER) while it is being translated.  In this case it is inserted into the ER.  As it is inserted it is folded into it's 3-D conformation.  Pending on whether parts are inserted into the membrane of the ER or not it will be determined if this Plasma Membrane(PM) protein is secreted or is stuck to the membrane.  After this you get the addition of the "glyco" part of the protein through numerous transferases and other molecules inside the ER.  This only happens inside the ER, as to why the former steps were necessary.  Then the protein is transfered via a vesicle to the Golgi Apparatus where further post-translational modifications take place.  At this point the protein is ready to go to the plasma membrane as a glycoprotein.  The protein needs no signal to get there however as the pathway from the Golgi to the PM is the "default" pathway and any unmarked(so to say) vesicle will find it's way to the Plasma Membrane.  And that's that.

Thanks for your help!!