Plants are eukaryotic, autotrophic organism with differentiation into stem, root and leaf. The branch of science that deals with the study of plants is called botany.
Fungi (singular: fungus) are eukaryotic, heterotrophic organism without differentiated plant body. The branch of science that deals with the study of fungus is called mycology.
Learn more : Difference between Plants vs Fungi (Plants vs Fungi)
Plant cell vs Fungal cell