CSS is aware of the current checked state of a checkbox input
This awareness, in combination of siblings selectors such as + (immediate next sibling) and ~ (next sibling somewhere) allows styling different styles, for checked/unchecked states, to anything that comes after the input element. The key here is the word "after".
Basic example:
/* styles when checkbox is unchecked */
div{ border:2px solid blue; margin:10px }
div h3{ color:red; }
/* when checkbox is checked */
input:checked ~ div{ background:blue; }
input:checked ~ div h3{ color:gold; }
<input type=checkbox>
<div><h3>very<h3></div>
<div><h3>cool<h3></div>
As others have said (but is not a must) - HTML label element allows to interact with input elements, and in checkbox/radio types' case - it allows to toggle their checked state by clicking the label itself, which is "linked" to a specific input element by the for attribute:
<label for='x`>click</label>
and the id attribute no the linked input:
<input type='checkbox' id='x'>
For the method to work, the input element must to be placed before whatever element(s) it is intended to control via CSS.
In real-word use cases, one would often want to use the CSS-toggling features of a checkbox over next siblings, but to obscure the fact there is a checkbox involved. The best way is by applying the hidden attribute on the input, which only toggles off the rendering of the input, nothing else.
The example below showcase such use case for a simple accordion component:
Practical example: Accordion
.accordion{ width: 300px; border: 1px solid silver; }
.accordion label{ display:block; padding:1em; cursor:pointer; }
.accordion label:hover{ color:red; }
.accordion > div:not(:last-child){ border-bottom:1px solid silver; }
.accordion .more{ max-height:0; transition:.5s; color:green; padding:0 1em; overflow: hidden; }
/* checked toggled */
.accordion input:checked + .content{ background:#EEE; }
.accordion input:checked + .content .more{ max-height:200px; }
<div class='accordion'>
<div>
<input type='checkbox' id='checkbox_item_1' hidden>
<div class='content'>
<label for='checkbox_item_1'>Title 1</label>
<div class='more'>
<p>This is cool<p>
<p>Yes it is</p>
</div>
</div>
</div>
<div>
<input type='checkbox' id='checkbox_item_2' hidden>
<div class='content'>
<label for='checkbox_item_2'>Title 2</label>
<div class='more'>
<p>This is also cool</p>
<p>So much fun</p>
</div>
</div>
</div>
</div>