Is there a way to avoid entering a password in the process of booting up? I am using a new and latest installation of Ubuntu, with Gnome desktop in it.
You might have installed Ubuntu with the whole partition being encrypted. This will require you to enter a password before it can boot the system. If you want to avoid this, you should not choose the option for full partition encryption.
See also here
Do you mean the password request to unlock your keyring? If so, refer to this - How can I stop being prompted to unlock the 'default' keyring on boot?