The Japanese dessert wrapped in a thin layer of mochi rice dough is called mochi ice cream.
Mochi ice cream consists of a small ball of ice cream enclosed in soft, chewy mochi. Mochi is made from glutinous rice that has been steamed and pounded or processed into a stretchy dough. The dough is rolled thinly and wrapped around the frozen filling.
Mochi ice cream is related to daifuku, a broader Japanese confection in which mochi surrounds fillings such as sweet bean paste. The two are not identical: daifuku is a category of rice-cake confection, whereas mochi ice cream specifically uses ice cream as its center.