Test first with a test or development shop and a few test items, not with the live shop. According to the weclapp help center, for Shopify: items flow in both directions, customers and orders come from Shopify to weclapp, weclapp sends stock only to the shop, every 5 minutes after activation. Prerequisites are the same product ID, variant ID and SKU in both systems, plus assigned warehouses. Reconciliation with marketplaces is explained in Keeping stock and orders in sync between shop and marketplaces.
Which connection is in which package is shown on the pricing page: according to the feature table, online shops are in the Dienstleistung (services) and Handel (retail) packages, marketplaces only in the Handel package; the package overview lists shop integration under the Handel package. According to its listing, the Shopify app is free only with an ERP Handel license; additional charges may apply. Clarify the package and the cost of the connection before signing the contract.
Run test orders through to the invoice: the normal case with label and tracking, special price, partial delivery, return with credit note, cancellation, international, every payment method. The test is passed when every case runs through to the document, amounts and stock levels are correct and the tracking arrives in the shop.