what kind of plant is this?
The pictured plant is one of the Yeddo Hawthorne cultivars in the Rose Family.
Common names: Japanese Hawthorn, Oriental Hawthorn, Yeddo Hawthorn,
Scientific names: Rhaphiolepis umbellate, prev. Rhaphiolepis japonica
Your question does not identify where in the world you live, so here are a couple of links to growing that plant from various areas in the U.S.