Leslie Vail offers some help around Upgrade from GP 2010 to GP 2013 R2.
Dynamics Confessions Blogspot: Upgrade from GP 2010 to GP 2013 R2
Install, Upgrade & AdminMicrosoft & the GP EcosystemGP 2013GP 2010
Archived post from 2015. Dynamics GP and the links it points to have changed since; check current documentation before relying on version-specific steps.