We have our business email on gmail via gsuite paid service.
With our domain being hosted on godaddy we have had to set up local webmail accounts for contact forms etc as the server only looks locally for email addresses and does not find our gmail addresses. Also we can not forward the webmail to any of our business accounts on gmail I think as they have the same domain name and the server looks locally only
Since you are using GSuite I'm assuming the "Gmail address" you are referring to is something like ToriBl@yourdomain.com @ToriBl? I don't see why any contact form would only look locally for email addresses? Can you tell us a bit more about what you are using for your website and contact form?
...turns out that my two cents is worth less or more depending on the current exchange rate.
roy darling *my posts seem a lot shorter in my head