Arduino Uno and Ethernet hat

Hi,
very new to all this, is there anyway to use serial monitor to see what is happening on my Arduino via IP

I have a sketch running, but not how I want. but the Arduino is tucked away with Ethernet, I have the IP address.
I would like to update the sketch and see it running, It would be a struggle to get to it unhook it and reconnect to a laptop

cheers

not Serial Monitor but Telnet. see the ChatServer example.
for remote update you can use the Ariadne bootloader GitHub - loathingKernel/ariadne-bootloader: A little less unfinished TFTP bootloader for Arduino Ethernet or Arduino with Ethernet Shield