How to call the controller method on text change in mvc and also able to retrieve all data from view to controller

You can use ajax call to do the task.
TextChanged event of your textBox write ajax call to your controller.

$(document).ready(function(){
   $("#YourTextBoxID").TextChanged(function(){
       $.ajax({
             Type:"GET/POST",
             ContentType:"application/json;charset=utf-8",
             url:'@Url.Action("ActionName","ControllerName")',
             data:{allData : Json.Stringify(Model)},
             dataType:"json",
             success: function(data){
                 alert(data.property1 + data.property2 + ...);
             },
             error: function(){
                 alert("Error");
             }             
 
       });
 
   });
});

You can return

List<modelclassobjects>

or single model class object from Controller and access it by its property name.