[http://www.asp.net/web-api/overview/getting-started-with-aspnet-web-api/tutorial-your-first-web-api]

That's the link where I tried this sample and decided if I could use more than one GET.

I'm using the jquery ajax exactly as shown in this sample but with one additional one for the name:

<script type="text/javascript">
  $(document).ready(function () {

    // for GetAllProducts
    $.getJSON("api/products/", function (data) {
      // on success, 'data' contains a list of products
      $.each(data, function (key, val) {
        // format the text to display
        var str = val.Name + ': $ ' + val.Price;

        // add a list item for the product
        $('<li>', { html: str }).appendTo($('#products'));
      });
    });
    // for GetProductById
    $('#find').click(function () {
      var id = $('#prodid').val();
      $.getJSON('api/products/' + id, function (data) {
        var str = data.Name + ': $' + data.Price;
        $('#product').html(str);
      })
      .fail(
        function (jqXHR, textStatus, error) {
          $('#product').html('Error: ' + error);
        });
      });
      // for GetProductByName()
      $('#findname').click(function () {
        var name = $('#nameid').val();
        $.getJSON('api/products/' + name, function (data) {
          var str = data.Name + ': $' + data.Price;
          $('#product').html(str);
        })
      .fail(
        function (jqXHR, textStatus, error) {
          $('#product').html('Error: ' + error);
        });
      });

  });
</script>