It's the first time that I want to use SEPA payment method, I want to transfer 500€ from my bank account at Austria to France, I want to know, Is my name will be displayed on beneficiary statement?
I am not exactly sure what the true motivation of your question is as to give you a really helpful answer. But yes, sender data (name of the sending account holder) is always provided. Everything else would open the door to money laundering.
This depends on the practise and applications available with the Beneficiary Bank. For a corporate customer, the details are show. For Retail customers they are generally not shown.