OneNote for Windows 10 works great with a touch screen. Here are common touch gestures to help you navigate.
Select text with touch
Double-tap the text you want to select.
Adjust your selection by dragging the circles at the beginning and end of the text selection.
Move pages and sections
Press and hold the page or section you want to move, and drag it to where you want it to be.
Scroll, pan, and zoom
Zoom in and out by pinching and stretching the screen with two fingers.
Scroll and pan by swiping up and down or left and right with one finger.
Note: If you use a pen with OneNote, the touch-to-zoom option might be turned off to avoid accidental zooming. To change this setting, tap the icon in the upper-left corner of the screen, tap Settings > Options and set the Use touch to zoom option to on.