There can be more than one ways to achieve something like this, but many of them might require a bit of extra work and programming experience (custom menu items, template overrides or alternative layouts).
Brian's answer seems like the easiest and a straight-forward way for your case.
You can populate a single article that you will dedicate for this page, with all kinds of the modules you are going to need and adjust them to fit your requirements.
You can load a module with the loadposition {loadposition myposition}, by publishing the core loadposition plugin.
One of the most flexible modules that allows great flexibility when it comes to display articles from one or more categories, is the RAXO all-mode module.
Although it is a paid download, I recommend this module for one more reason. It is a great piece of module software with clean code, which can help you learn a lot about Joomla modules and web development, if you decide to dig deeper and make changes to its code.