Yeah that’s what it sound like to me as well. There are two different scale buttons and one zoom button in the default UI which is probably very confusing for new users. Each works differently and is something one should really spend some time learning.
The other problem regarding the standard brush and squares sounds as if he is, after running ZBrush, simply painting from the get go without doing anything else. If the standard brush in the upper left is grayed out, and the SimpleBrush tool is selected in the tool palette (upper right in the default UI), painting in the viewport will result in lots of overlapping squares. This is because it’s using the currently (un)selected alpha to paint 2.5d pixols. Pixols are something else new users need to spend some time learning. Try choosing a different alpha and then paint some more. It should become clear what is happening.
If you want to work in 3D, first select a tool (Cylinder3D, Sphere3D, Cube3D, and so on for example) in the tool palette, draw it onto the canvas, turn ON the edit button (this button is very important so learn what it does), then click the Make PolyMesh3D button in the upper right of the screen. Now you’ll be able to sculpt/deform/paint/mask/subdivide/etc the 3D tool you drew. Navigate by click-dragging with the LMB in the canvas outside of the mesh to rotate the view (this is the same as holding down the LMB on the rotate button in the right-hand shelf). If you hold down ALT prior to doing this, you will pan instead. Letting go of ALT while panning will switch to proper zooming of the type you desire. Don’t turn the edit button OFF or your mesh will drop to the canvas as 2.5d pixols. If you do so but didn’t want to, clear the canvas (CTRL+N whenever edit mode is turned off), redraw your tool, and then turn edit mode ON again. If you want to save your ztool (which is what tools are technically called), just click on the Save As button in the tool palette, or click the one in the File menu to save the entire project (don’t use the one in the Document menu, it doesn’t save tools).
Ok that should get you started. I can’t spend forever typing how to use every little aspect of ZBrush though. Read the included documentation, consult the official Wiki, always do a forum search before asking a question, and also do a search on Youtube where you’ll find many helpful videos for beginners. Edit: Forgot to add this page and this page.