Because right now, in order to search my blog, you have two options.
One, manually. As in, going through the archives, bit by bit, page by page. By the month, by the previous button, whichever of the two methods you use, sometimes both. This is, understandably, rather tedious, especially since--while I do occasionally miss a day--I probably average about 1.5 blog posts a day, which has been going for a year and a half by now. Wouldn't at all surprise me if I had around 600 entries on here. Finding what you're looking for would then, obviously, be rather difficult.
Two, using Google. This is the method I was told was used, and that I have adapted. "site:http://alltoohuman.weebly.com", and then whatever you're searching for, I believe is how it's done. (Would have to double-check.) Now, on the bright side, the on-site search feature would save you the trouble of doing that.
The bad news here, however, is that said feature is apparently not available for free. (Like expanded statistics aren't free.) Meaning, that while it's there, I can't actually use it. It's dangling right in front of me, taunting me, telling me, "this is what you could use!", but I can't have it and never will since I have no intention of ever paying to have this blog run; I chose weebly in the first place because I needed a free place to blog.
Free, and having an interface I could actually navigate. (For instance, I believe it's possible to blog on something like tumblr, but I could never figure out how that site worked, so never did. I'm sure there are other blogging-friendly sites out there, but again: at the time, I did some research. Weebly was the first name that came up that seemed to satisfy all my needs, so it won out.)
So, unfortunately, it will remain impossible to search from just the site. (Though I wouldn't know how good the search feature would be until actually trying it out. Who knows, maybe it'd suck and not be worth it, anyway?) Even if the upgrading is a one-time thing (I think it's a subscription thing, that is, paying either by the month or the year), that's still a cost I can't afford...or even if I could, wouldn't know how to actually handle.
Ah, well. I've grown accustomed to weebly, so I've also grown accustomed to the inconveniences it gives. Honestly, if a better site suddenly materialized in front of me, I probably wouldn't switch over at this point, thanks to how much I've invested into this one. My blog has become a significant part of my life. It is also readily available to people who are close to me, as a way that they can keep updated on my life, when I can update, anyway.
It's known, it's in use, it has a lot of history behind it, all of that makes it a place I just don't want to leave. So I'll have to live without a search function, sadly. Sorry that I can't incorporate a change like that to make the blog better. Though, if you do have any ideas for how I could improve my blog, I'm all ears. I've been doing this for a year and a half, sure, but I'm still every bit the amateur I was on my first day.