I use both of these products, there is no difference in wear and shine and application is very similar.
Gelish is a more known brand
Gelish has more colours
Gelish is easier to remove
Gelish has the option of using Structure Gel for problem clients
Gelicure brushes are nicer and great for doing a French
Gelicure does not require dry wiping of the basecoat
Gelicure generally gives better coverage (most colours two coats)
Gelicure is much cheaper for the same size bottle
I remove both with D-Solve and remove the sticky layer with D-Sperse.