Yes, this is routine work. Your old site's content gets migrated to the Shopnseo platform: pages, articles, catalog, images.
The main thing during migration is not losing accumulated search rankings. So we try to keep existing page addresses, and wherever the structure does change, we set up permanent redirects from old addresses to new ones. We also check the sitemap and indexing after the move.
Before migrating, we look at what you currently have: sometimes it turns out to be simpler to rebuild than to drag along what's accumulated. We'll tell you honestly if that's the case.