<style>
#but1 {
display: none;
}
</style>
<p id="but1"><a class="myButton1">Выбрать</a></p>
<p id="but2"><a onClick="q2();" class="myButton2">Выбрать</a></p>
<script>
function q2() {
document.getElementById("but1").style.display = 'block';
return false;
}
</script>