Relanding "views: Add a gyp file to build webview.". Try 2.

ui/views/views.gyp

Index: ui/views/views.gyp
diff --git a/ui/views/views.gyp b/ui/views/views.gyp
index 12f75510efe5d0b736f34ed975f6864ef692034a..015c1525036847797ecef73dd9a2c964fb707b3a 100644
--- a/ui/views/views.gyp
+++ b/ui/views/views.gyp
@@ -35,7 +35,6 @@
         '../../third_party/icu/icu.gyp:icuuc',
         '../base/strings/ui_strings.gyp:ui_strings',
         '../compositor/compositor.gyp:compositor',
-        '../web_dialogs/web_dialogs.gyp:web_dialogs',
         '../ui.gyp:ui',
         '../ui.gyp:ui_resources',
       ],
@@ -235,10 +234,6 @@
         'controls/tree/tree_view_views.h',
         'controls/tree/tree_view_win.cc',
         'controls/tree/tree_view_win.h',
-        'controls/webview/web_dialog_view.cc',
-        'controls/webview/web_dialog_view.h',
-        'controls/webview/webview.cc',
-        'controls/webview/webview.h',
         'debug_utils.cc',
         'debug_utils.h',
         'drag_controller.h',
@@ -478,6 +473,7 @@
         '../../skia/skia.gyp:skia',
         '../../testing/gtest.gyp:gtest',
         '../ui.gyp:ui',
+        'controls/webview/webview.gyp:webview',
         'views',
       ],
       'include_dirs': [
@@ -690,6 +686,7 @@
         '../../third_party/icu/icu.gyp:icuuc',
         '../ui.gyp:ui',
         '../ui.gyp:ui_resources',
+        'controls/webview/webview.gyp:webview',
         'views',
       ],
       'include_dirs': [