impossible to say without seeing the person, and even then I am wondering whether I would venture a recommendation.
The first question that popped into my mind is whether running is the best form of cardiovascular exercise for a person who over-pronates. But I assume s/he has set her mind on running a 5 K no matter what.
There are some excellent shoe stores (I recommend Foot Solutions to my clients) who have people that know both feet and shoes, and I would suggest that the person go there and try out the various options. Either way, whenever started with new / different shoes, it needs to be started slowly and built up gradually, be it minimalist, completely supported or somewhere in between.
quick answer without seeing the person..NO, NO, NO!
Going barefoot or minimalist is a great goal but most people really cant just go straight into them, particularly an experienced runner.
What I would is test their dorsiflexion. Likely you are going to see that their range of motion is limited. This is likely a result of improper footwear. When you look at a running shoe, you should be careful to note that the heel can lifted up to three inches above the toe. This creates a situation, in which the Achilles gets all tangled up and the foot wont be able to properly dorsiflex. Being that everything in our body is anatomically connected, we end up with a hip that can slam up against our lumbar with every step.
I would certainly consider a change in footwear, but not to minimalist yet. I would look to go more neutral but with orthotics.
Hope this helps,