Hi Carl,
Thanks for reaching out! I’d be happy to help you with this.
The best way to access the php files (which generate the html for our events pages and other pages on WordPress), would be via FTP (you may need to contact your hosting provider for information on how to connect). You can then make a copy of the template and paste it into your theme following these instructions, and then edit the copy.
Note that you can also adjust the styles for that page in your settings and by going to Appearance > Customize > The Events Calendar.
I hope that helps! Please let me know if you have any more questions.
Thanks,
Jennifer