Ah ok, I see! So based on that description, I think my answer is not very helpful after all---it should be a research project, and as you say, it does need to contain some results that you find. This means you need to be looking for some (small) open questions. And in my answer, everything except the last is a known fact, and the last open question seems too hard for a Bachelor's thesis. I say this because it has been an open question for quite some time, and so many people have thought about it, so it will likely take some new techniques. Also, I gave you mostly the finite/combinatorial projective geometry angle, but you could also look at the algebraic geometry angle instead.
You instead probably want to be looking for either very recent open questions, and/or for less well known areas of projective geometry so that not so many people have tried to answer it. You hopefully have a faculty member supervising this project and they should be able to help point you in the right direction (at least, that is how it is done in the USA). But just in case they're not very helpful...
To start out, you probably want to make sure you know what projective geometry is (just since you say you like geometry, but projective geometry is hit or miss into how thoroughly it gets covered?). So you may want to find some introductory textbooks to skim; I personally thought Perspectives on Projective Geometry was decent, and if you're specifically interested in the finite case then so is Projective Geometries over Finite Fields (definitely old, but I've used it as a reference & he collects a lot of important results). [And please check your school's library to see what they have! This isn't the area I work in, so there are probably better textbooks.] If you already know the basics, great! Go see what people have done recently. Does your school have access to MathSciNet? If so, search through there. You can maybe try the MSC classification to start out, maybe 51A, 51E, and 51N (that's the primary/secondary; 51 = geometry & the letter is something more specific). And skim some stuff? But really ideally your faculty mentor should help you with this (again, I'm not a geometer).
But I guess maybe my answer is not totally useless---a 30 page paper should have a solid introductory section and a solid background section, and my middle two bullet points might be relevant for the background, depending on what focus you decide to take.