If you want to view Instagram account posts or stories without logging in, you can use free private Instagram Viewers like Dumpor, Imginn, Inflact, etc.

If you're blocked by an Instagram account but still want to track its activity, use AximoBot - a social network & RSS forwarder for Telegram.

It is a good idea to check the Instagram private account viewer review to understand whether the chosen title provides access to private pages.