I am actually writing on behalf of my son Luke.  Luke and a friend, both students
at the University of Toronto, will be taking a full year at the University of
Granada.

My wife and I and of course Luke, are coming in for a couple of weeks to
get him set up.  If you have any ideas also as to furnished (preferably)
apartments, your assistance would be most appreciated.

We would be interested in somewhere to stay while we are looking and also some advice on finding student accommodation.

The faculty where they will be going to school is: Faculty of Political
Science and Sociology, C/Rector Lopez Argueta, s/n.

Any help would be appreciated.

My advice to your sons would be to share an apartment with some Spanish
people.
1. It is the cheapest method. 2. You will learn more Spanish and get
to know more people.
Make sure that you really are sharing the apartment ie each person
pays equal parts of the rent and not you paying more than everyone
else.

If you are actually in Granada one  way of finding a cheap place to stay is to go to the universities and look at the notice boards. There are always hundreds of notices advertising flat sharing. The price of sharing a flat can be very low. Just go to the universities and note down the numbers and then phone to arrange to see it.

If your level of Spanish is very limited then you could put up your own notice that the translation faculty
because translation students are always happy to share with foreigners because they can practice their English.

Beware of agencies which offer to find you accommodation by paying a fee. I have heard several reports that they are a are rip off.

Facebook Groups are a good place to find things.

Search for facebook groups using terms like Alojamiento en Granada para estudiantes.

For example 

https://www.facebook.com/groups/673936320203269

There are also facebook groups for foreigners in Granada which are in English.

Never, pay a deposit or any money to anyone unless you have actaully seen the apartment. 

This page has a list of real estate pages. 

Idealista has rentals. Most of them are estate agents so you might have to pay commission.