Websites are expected to have two standard email addresses for administrative matters. They’re not much used, but important communications sometimes arrive this way, so it’s a good idea to direct these messages somewhere you’ll notice them. I generally forward them to an address I use regularly.
To set up forwarding, go to the Site Tools screen of your hosting provider and search for the Forwarding function.
There, find a list of current forwarding addresses (none, so far) and a button or form to add new forwarding rules. Add the address webmaster@yourdomain.com and set it to forward to your current email. This can be an address on your own server, as defined in the previous section, or on Gmail or anywhere else.
The “webmaster” address is used for official website business, so someone might drop you a line to point out something broken on your site, for instance. You have a contact form for this, but some folks tend to dash off an email instead. Also, if your contact form is broken, this gives another option. To let you know that your contact form is broken.
The other standard address is “abuse@yourdomain.com,” for people to tell you when your site is being used for mailing spam or other unsavory activity. Assuming someone bothers to email you about this instead of just getting you blacklisted, this gives you a chance to correct it. I would forward that, also.