JSFiddle - React, Tailwind, and code Playground

HTML

<ul id="whatson">
    <li> <span class="chkdate">06/01</span> somestuff2</li>
    <li> <span class="chkdate">06/02</span> somestuff1</li>
    <li> <span class="chkdate">06/03</span> somestuff2</li>
    <li> <span class="chkdate">06/04</span> somestuff2</li>
    <li> <span class="chkdate">06/05</span> somestuff2</li>
    <li> <span class="chkdate">06/07</span> somestuff2</li>
    <li> <span class="chkdate">06/20</span> somestuff2</li>
</ul>

JavaScript

var d = new Date();
 d.setHours(0, 0, 0, 0);
 var year = d.getFullYear();
 $(".chkdate").each(function (i) {
     ((new Date($(this).text() + "/" + year)).setHours(0, 0, 0, 0) < d) ? $(this).closest("li").hide() : $(this).closest("li").show();
 });