An easiest way to create such thing is a module to build custom contents. You can use free html box to create it or some paid solutions like my html box pro. I will focus on free html box for PrestaShop. This guide shows how to create links to cms pages, but of course you can use it to create links to other pages.

How to add links to CMS page on PrestaShop's homepage

1. download free module "html box"
2. upload module to your shop back office and install it
3. open module configuration page
4. as a target position of your contents select hook named "home"
5. use WYSIWYG editor (rich text editor) and build your contents

i recorded short manual about it, here it is:

code I used in the guide

<div class="col-md-4">
<img src="//i.imgur.com/ZHsdYpD.jpg" alt="example of image" width="370" height="192" />
<a href="http://localhost/17210/en/content/3-terms-and-conditions-of-use">example 1</a><br /> 
put some text here you want to show put some text here you want to show put some text here you want to show put some text here you want to show put some text here you want to show put some text here you want to show put some text here you want to show put some text here you want to show
</div>