Yes, for fulfilling your Ordentic order. The supplier who fulfills that order can see the shipping and billing company and address, your VAT number, and the ordered lines and prices.
They do not get your cart, browsing activity, or purchase history from other practices. They also do not get other suppliers' orders.
Ordentic may use platform data to analyse and improve the service, as described in the Privacy Statement. That is Ordentic's own analysis. It is not the same as sharing anonymized purchasing data with suppliers.
You can read more here:
There is no preference in your account to turn order-data sharing on or off for suppliers. For privacy rights and requests, use the Privacy Statement or contact support.