Olympus E-M10 has a Tilting 3.00-inch LCD screen with a resolution of 1,037k dots. Tilting screens are more photography oriented while Fully articulated screens are highly preferred by videographers. Both the screen size and the screen resolution is up to the standards of this class.
LCD is
Touch screen type, so you can change the settings and set the focus point with your fingertips.
Unfortunately Olympus OM-D E-M10 doesn't have a Selfie friendly screen. If this feature is important for your shooting style, check here the list of Best Mirrorless Cameras with Selfie Friendly LCD screen.
E-M10 has a built-in Electronic viewfinder, making it easier to shoot in direct sunlight and in other situations where it might be difficult to view the LCD monitor. The viewfinder has a resolution of 1,440kdots and coverage of 100%. 100% coverage ensures that what you see in the viewfinder while shooting matches exactly what you will get later in your image, helping accurate framing your shots and minimizes the need for cropping images later. The magnification ratio of the viewfinder is 0.58x (35mm equivalent).