To integrate the gigs on a Squarespace page, you can either embed or link them to a new page.
1.) Enter the Squarespace Editor.
2.) Add a block and choose embed...
3.) Click on "</>" and enter the CUSTOM EMBED CODE from the Artist Profile (read here on how to get the code: http://help.optune.me/quick-guide-for-artists/setup/embed-your-gigs-into-your-website-squarespace-wix-wordpress-etc).
Voilà!