JSFiddle - React, Tailwind, and code Playground

HTML

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.0/jquery.min.js"></script>
<div class="category">1</div>
<div class="category">2</div>
<div class="category">3</div>
<div class="category">4</div>
<div class="category">5</div>

CSS

.category {
  display: none;
}

JavaScript

jQuery($ => {
  let $divs = $(".category");
  let lastShown = localStorage.getItem('lastCategoryIndex') || -1;
  $divs.eq(++lastShown % $divs.length).show();
  localStorage.setItem('lastCategoryIndex', lastShown)
});