Hi Marvin,

The example you have given is taken from a list of the various conjugations of volver in singular and plural. All of the personal pronouns are listed including nosotros just to show you which personal pronoun goes with which conjugation. This is standard practice in the lessons.

By implication you are already aware that it is not necessary to use the personal pronoun when the verb is already conjugated. Sometimes it is included (though not in this case I think) if you want to emphasise the subject; for example "we're coming back very tired ......but the others have decided to stay out - nosotros volvemos muy cansados pero los demás se quedan fuera."

I hope that helps.

Saludos. John 

Vuelvo is same as regreso. You need to have more options on that answer.  I'm a fluent Spanish speaker