Clicking the button doesn’t proof that you are a human. All the checks happen way before you even click the button (or sometimes even before visiting the website). Google also offers a similar button for their users and since cloudflare is also used on almost any website, they have a lot of data about you. They check your cookies, browser agent, device, settings, your IP address, if you use a VPN or proxy, etc. If you visited other cloudflare websites in the past with the same device or IP, and so on. So they know you and your device way before you even click the button. This is also the reason why you sometimes see a robot arm (made of Lego) clicking the button, and is still recognized as human. But as soon as you use a different IP address or a VPN (or even use a shared IP address, like in your company’s network) you have to solve CAPTCHAs. Of course they also check mouse movement, but this is only one part of many checks.

Do you mean the individual upvotes or downvotes, or the current score of the post? For me I can see the current number of upvotes just fine in the app (top right corner of the comment).

If you want to see the individual upvotes and downvotes, I think this is not possible, but not because of Boost. I think this is a limitation of Lemmy. So in this case you would have to request the feature in the Lemmy development channel :)