Help with My Blog

I follow a lot of other blogs, but can't figure out how I get the links with the active posts from those blogs to show up on my blog. Could anyone give me any pointers on this? I think I would have more followers if everyone could see the active posts. But I'll be darned if I can figure it out. I'm not not real savvy with this blog thing, but I've actually managed some things that when I first started out I thought I'd never figure out! So if you want to give me a point or two about this, I'd surely appreciate it. I want my blog to look like others that I follow so when people come to my blog they can click on active posts from other blogs and see what's going on in blogland.

Any help would be so much appreciated.
Sharon