Hello @saikat_saha
Well after setup the site on local server - have you change the base_secure and base_unsecure URL from the core_config_data tables from the database ?
Also you will require to run commands from the command line from the root directory of the Magento.
php bin/magento setup:upgrade
php bin/magento setup:static-content:deploy -f
php bin/magento cache:clean
php bin/magento cache:flush
Then as you are running on localhost - i would say change the environment mode to Developer so that you can see the errors and all.
You can enable developer mode by running this command - php bin/magento deploy:mode:set developer
Hope it helps !
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