Authenticate the user when WebMethod is called using jQuery in ASP.Net

I check using web service that we can invoke. So, i use web method at code behind like below 

[WebMethod] public static string ReceiveWebService(string type_list, string type_accom) {        return string.Format("Thank you ,{0} number of rows inserted!", rowsInserted); }

and check user session at load like below

if (Session["user"] == "Abhijit") { } else { Response.Redirect("Login.aspx"); }

is this process secure?