What is the name of this play?
; grainpsilo is right.It is called Scholar's mate!!!
The following moves are not called scholar's mate because there is not any checkmate.
But, the following moves are its variation .
1. e4 e5 2. Bc4 c6 3. Qh5 g6 4. Qxe5+ Qe7 5.Qxh8