If you know the exact name of the account you wish to browse, you can simply type https://www.instagram.com/username into your browser where username stands for the exact handle of the account you're interested in (minus the @ symbol).

You can search on Instagram using keywords to find photos and videos, hashtags, accounts, audio, tags, and places. Tap at the bottom to go to Search & Explore. Tap Search in the search bar at the top. Type who or what you want to search for, then tap the search button in the bottom right of your keyboard.

Creating a Finstagram, also known as a fake Instagram account, is a popular method to follow someone without alerting them. It allows me to view content without directly engaging or leaving a trace.

You can't. If you want to follow a private account you have to send a request, which they need to accept. However you could use an account that is not related to you.