This 5 inch Waveshare display with touchscreen is connected via HDMI and  the GPIO pins of the Raspberry Pi.

Specifications:

• Screen size: 5 inch
• Resolution: 800 x 480 pixels
• Resistive touchscreen
• HDMI interface for the screen
• GPIO interface for the touchscreen
• Compatible with all Raspberry Pi models
• Works with Raspbian, Ubuntu, etc. (without additional drivers)
• Dimensions (screen module): See images

Package contents:

• 1x Waveshare 5 inch display with touchscreen
• 1x Mounting material
• 1x HDMI connector
• 1x HDMI to Micro HDMI connector (for Raspberry Pi 4)
• 1x Touchscreen pen