I built this because I needed it. I often found myself constantly copying URLs (of blog posts, articles, etc) and pasting them into Twitter's search to see kind of conversations were happening around them.

Old way to view tweets featuring a URL = 5 steps

1. Copy URL from nav bar
2. New Tab
3. Navigate to Twitter
4. Paste into Search
5. Click enter

New way using ViewTweets = 1 step

1. Click ViewTweets Chrome extension icon on toolbar or type 'Command + K' (Mac)

Pretty cool, right?

ViewTweets shows you tweets featuring the URL of your active Chrome tab when you click the icon on the toolbar or type 'Command + K' (Mac)

This Chrome Extension takes the URL of the active Chrome tab and affixes it to the end to the search query for Twitter which enables the site to show Tweets featuring the URL.

See above (tl;dr to scratch my own itch)

No. You can audit the code on this Github repo (that's why I made it public).