Please see the attached image which shows the MX records I created on my virtual dedicated server in Plesk. Is this setup correctly to point to use GMail email for my website domain?
However, if you don’t want to do that, you can point the MX records to your host, and just use your host’s email features to forward your email to whatever account you wish.
Yes, although watch out, because your host email inbox will fill up and eventually max out. I kept getting clients who requested a redirect to their GMail and other such accounts, but now I refuse, because I’ve found that, in practice, they rarely remember to empty out the real inbox at regular intervals, and thus get into trouble.