How to check the customer first time ordering in the website in Magento 2

I want to show the dropdown on the order success page if the user is first time ordering in the website..
I am following this way but its not working for me

<?php

namespace NamespaceModuleBlock;

class Test extends MagentoFrameworkViewElementTemplate
{
    protected $orderFactory;

    public function __construct(
        MagentoSalesModelOrderFactory $orderFactory
    ) {
        $this->orderFactory = $orderFactory;
    }

    public function getFirstOrder($emailId){
        $emailId = '[email protected]';

        $order = $this->orderFactory->create()->getCollection()->addAttributeToSelect('customer_email')
                ->addFieldToFilter('customer_email',array('eq'=>$emailId))->getFirstItem();

        if($order->getCustomerEmail()){
            echo 'second time order';
        }
        else{
            echo 'first time order';
        }

    }

How can i achieve this.

thanks.!