Fix FirstWebContentsProfiler not getting created when using session restore.

chrome/browser/sessions/session_restore.cc

Index: chrome/browser/sessions/session_restore.cc
diff --git a/chrome/browser/sessions/session_restore.cc b/chrome/browser/sessions/session_restore.cc
index 1577b6a515ca5c139f4a270f77b947956191419a..4620241d6de114bb3232cda59b0187a67034d3f3 100644
--- a/chrome/browser/sessions/session_restore.cc
+++ b/chrome/browser/sessions/session_restore.cc
@@ -31,6 +31,7 @@
 #include "chrome/browser/chrome_notification_types.h"
 #include "chrome/browser/lifetime/keep_alive_types.h"
 #include "chrome/browser/lifetime/scoped_keep_alive.h"
+#include "chrome/browser/metrics/first_web_contents_profiler.h"
 #include "chrome/browser/profiles/profile.h"
 #include "chrome/browser/search/search.h"
 #include "chrome/browser/sessions/session_restore_delegate.h"
@@ -548,6 +549,7 @@ class SessionRestoreImpl : public content::NotificationObserver {
         if (!is_selected_tab)
           continue;
 
+        FirstWebContentsProfiler::WebContentsStarted(contents);
         ShowBrowser(browser, browser->tab_strip_model()->GetIndexOfWebContents(
                                  contents));
         // TODO(sky): remove. For debugging 368236.