A method of completing a wellbore system that includes a main wellbore and a lateral wellbore intersecting the main wellbore at a junction is disclosed, wherein in one embodiment the method includes placing a first outer assembly below the junction in the main wellbore and placing a second outer assembly below the junction in the lateral wellbore; placing a first inner assembly in the second outer assembly with a top end thereof below the junction, the top end of the first inner assembly including a first wet connect associated with at least one link in the first inner assembly; and connecting a second wet connect of a string with the first wet connect with a top end of the string having a third wet connect corresponding to the at least one link above the junction in the main wellbore.