Keeping this in view, does Tumblr tell someone when you block them?
We don't tell people when you block them, so they will not automatically know. But they might figure it out on their own if they visit your website, try to reblog one of your posts, say, and are prevented from doing so.
Beside above, how do you see who has you blocked on Tumblr? Log in to Tumblr to navigate to your Dashboard and click the "Gear" icon to visit the Settings page. The Account tab should be selected by default. Click the "Ignored Users" button on the Account page to see a list of all blocked users.
Also Know, what does being blocked on Tumblr look like?
When you block someone on tumblr here's what happens: They won't see your posts on their dashboards, but they can see them in case they've been reblogged (as far as I know). They won't be able to follow you and they'll automatically stop following you if they already have. The same happens to you.
Can you block an anon on Tumblr?
In a bid to reduce harassment, Tumblr has renamed and updated its “Ignore” feature with what the company describes as “a proper, muscular” “Block” option designed to work even on anonymous users. To block an offending user, select their avatar from your dashboard and click the human icon from the menu on the right.