You can get to the Mon-Repos Estate by car or bus (stop at the entrance of the Estate) and then on foot following the route defined by the tourist map found right after the entrance of the Estate.
Suggestive Bibliography
Καλλιγάς Π., "Το εν Κερκύρα ιερόν της Ακραίας Ήρας", ΑΔ 24 (1969), 51- 58
Δοντάς Γ., "Le grand sanctuaire de Mon Repos a Corfu", AAA I 1968, 66 κ.ε.
See also
Other museums and archaeological sites in the same prefecture