Selecting Picture and Text Frames in InDesign

The tool bar

To select a Frame to work with, choose the black arrow from the top of the tool bar - otherwise known as the Selection Tool.

A frame after a single left click.
It can now be moved around the page.

A single left click will select the frame and allow you to move it around the page.

A frame after a double left click.
You can now work with the text.

A double click will take you into the frame, allowing you to work with the contents - such as the text.