I need a template to design something like this, but I don't know the proper term for it.
Does anyone know what this type of design is called, when categories cut through on the right side of a catalogue ?
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This is a step tab design. Since there seems to be 11 tabs, they're called 1/11th cut, or bank of 11. The tabs themselves are usually 1/2" wider than the pages they're separating. So if the page is 8-1/2 X 11, then the tab is 9 X 11. The cover should be as wide as the tabs so the tabs don't get bent when the cover is closed - similar to the image you show.
The stock for the tabs is heavier than the stock for the pages, usually a cover weight.
These are stock dies so if you contact your vendor, he'd be able to provide a template. You can also find some stock designs online - here's a sample set of different banks:
Any additional info you need, stay in touch.