- b. computers : to cause (something, such as a file or picture) to appear on a computer screen.
Both bring up and pull up are frequently used in this context.
For example, from a blog post about using the Microsoft Windows on-screen keyboard:
On Windows 10 and 8, there are actually two on-screen keyboards: the basic touch keyboard you can bring up from the taskbar, and a more advanced on-screen keyboard in the Ease of Access settings.
The idea is that the keyboard (or the task notes in the app you're discussing) is "hidden" somewhere off-screen and you are bringing it out of hiding and putting it up on the screen. This is, of course, not how computers really work, but it is how the experience is designed to feel and talking about it this way makes using the application more intuitive for the user.