An electronic device comprising: a housing including: a front surface, and a rear surface facing a direction opposite to a direction that the front surface faces; a display positioned on the front surface of the housing, wherein the display is in the shape of a rectangle including: a first edge region extending in a first direction by a first length, a second edge region extending in a second direction perpendicular to the first direction by a second length longer than the first length, a third edge region extending in parallel to the first direction by the first length, a fourth edge region extending in a direction parallel to the second direction by the second length, and an inner part of the display; and wherein the display is partially bent toward the rear surface of the housing along the second edge region and the fourth edge region; a communication circuit positioned inside the housing; at least one processor positioned inside the housing and electrically connected with the display and the communication circuit; and a memory positioned inside the housing and electrically connected with the at least one processor, wherein the memory is configured to store instructions which, when executed, cause the at least one processor to: in response to receiving a signal from outside of the electronic device via the communication circuit, display a user interface as a graphic effect present on an elongated region that extends along the first edge region of the display, wherein the graphic effect starts with a first length from the first edge region on the elongated region of the display; cause the graphic effect to expand in length to the second and fourth edge regions (12, 14); move the graphic effect along the first, second and fourth edge regions (11, 12, 14) of the display; and display at least one content corresponding to the signal onto the inner part of the display, while displaying the graphic effect, wherein the electronic device further comprises a display driver integrated circuit configured to output the graphic effect onto the first, second and fourth edge regions (11, 12, 14) of the display and image data including the at least one content onto the inner part of the display, in response to receiving the signal if the at least one processor is in a sleep mode. a front surface, and a rear surface facing a direction opposite to a direction that the front surface faces; a display positioned on the front surface of the housing, wherein the display is in the shape of a rectangle including: a first edge region extending in a first direction by a first length, a second edge region extending in a second direction perpendicular to the first direction by a second length longer than the first length, a third edge region extending in parallel to the first direction by the first length, a fourth edge region extending in a direction parallel to the second direction by the second length, and an inner part of the display; and wherein the display is partially bent toward the rear surface of the housing along the second edge region and the fourth edge region; a first edge region extending in a first direction by a first length, a second edge region extending in a second direction perpendicular to the first direction by a second length longer than the first length, a third edge region extending in parallel to the first direction by the first length, a fourth edge region extending in a direction parallel to the second direction by the second length, and an inner part of the display; and wherein the display is partially bent toward the rear surface of the housing along the second edge region and the fourth edge region; a communication circuit positioned inside the housing; at least one processor positioned inside the housing and electrically connected with the display and the communication circuit; and a memory positioned inside the housing and electrically connected with the at least one processor, wherein the memory is configured to store instructions which, when executed, cause the at least one processor to: in response to receiving a signal from outside of the electronic device via the communication circuit, display a user interface as a graphic effect present on an elongated region that extends along the first edge region of the display, wherein the graphic effect starts with a first length from the first edge region on the elongated region of the display; cause the graphic effect to expand in length to the second and fourth edge regions (12, 14); move the graphic effect along the first, second and fourth edge regions (11, 12, 14) of the display; and display at least one content corresponding to the signal onto the inner part of the display, while displaying the graphic effect, display a user interface as a graphic effect present on an elongated region that extends along the first edge region of the display, wherein the graphic effect starts with a first length from the first edge region on the elongated region of the display; cause the graphic effect to expand in length to the second and fourth edge regions (12, 14); move the graphic effect along the first, second and fourth edge regions (11, 12, 14) of the display; and display at least one content corresponding to the signal onto the inner part of the display, while displaying the graphic effect, wherein the electronic device further comprises a display driver integrated circuit configured to output the graphic effect onto the first, second and fourth edge regions (11, 12, 14) of the display and image data including the at least one content onto the inner part of the display, in response to receiving the signal if the at least one processor is in a sleep mode.