The run command comes with info about the running process, see:
[mythcat@fedora examples]$ ../flutter/bin/flutter run Launching lib/main.dart on Linux in debug mode... Building Linux application... Syncing files to device Linux... 1,488ms Flutter run key commands. r Hot reload. 🔥🔥🔥 R Hot restart. h List all available interactive commands. d Detach (terminate "flutter run" but leave application running). c Clear the screen q Quit (terminate the application on the device). A Dart VM Service on Linux is available at: http://127.0.0.1:38903/k8tmzU7n0NQ=/ The Flutter DevTools debugger and profiler on Linux is available at: http://127.0.0.1:9100?uri=http://127.0.0.1:38903/k8tmzU7n0NQ=/
If you open that URL you will see this type of informations: