Will the data (like parameter "name") from this connection be encrypted and safe just by using "https" as scheme or is there something else I have to do, to make sure only the recipient can read the data?
And I do not mean advanced stuff, I just want to know if I use https the way it is supposed to be used.
Yes, the entire URL is encrypted, so even the GET parameters will be encrypted between the client and the Server
However, and this is a big however, most HTTP servers log the URL after it has been decrypted. If you are sending a parameter in the GET request, the parameter is part of the URL. So, the parameter will also be logged. This might create a security issue for you because anyone who has access to the HTTP logs might see sensitive information.