To connect a raspberry pi to a monitor, just connect the HDMI cable from Pi to the monitor. If monitor does not support HDMI and support VGA then we need a HDMI to VGA converter.
follow this instruction
How to Connect a Raspberry Pi to a Laptop Display | Headless Setup
No need for Putty
Connect to the Raspberry Pi by running ssh pi@[the Pi's IP Address]. If this is your first time logging in, the default password should be “raspberry.” You can configure your own custom password after the first login.