I assume, views is when someone click on the link, while 7D impressions is when someone (literally) see the link?

That should be correct.

I’m a little confused since my 7D impressions reached up to 25k while my views barely reached a thousand.

That also sounds right, 25k impressions means, your project was shown 25k times, and out of those, about a thousand clicked on it. This is also visible with the 0.28% CTR (Click-through rate).