I have with a link over to Scarybooster's advice post on the myths of blogging advice. He's right, I say don't worry about hits, but I regularly check my stats on the Blogger Dashboard, on top of which I have a Statcounter.com widget tracking things in more detail.
A lot of other advice from NBI (not Scary's) centers around gaining readers, like it's a good idea to join Twitter or G+ and "advertise" yourself and your posts. While I believe this is of value, you can't simply simply declare you have posts and otherwise ignore whichever social site you post to. You'll get ignored. (Full disclosure: I am guilty of this with G+, which is blocked from my office network.) The point of Twitter, G+, and Facebook
is to engage others in a conversation. You'll only gain audience from those venues if you are actively using them to reach out in "normal" conversations. Then when you do advertise a blog post, people will click on your link to see what you have to say. As Tish Tosh Tesh said, "Blogging is a social activity" (Yes, I linked his post twice. It's that important.) Your blog is your own little corner of the Internet, but you want to invite people to your corner.
The thing about hits—and what is behind at least my own advice not to worry about them—is that not all of your readers will do so by visiting your blog directly. Many do so through RSS readers, including Google Reader, Bloglines, and various smartphone apps. If you've ever subscribed to a news feed online, you're using RSS. Really Simple Syndication is a way to let others know you have a new blog post. RSS readers pick up these feeds. Blogger provides for RSS feeds on the Dashboard, under Settings>Other
I know Wordpress has a similar setting where you can enable RSS feeds. Whether you allow the full post to be read without hitting your site is up to you, but realize that many people might not be able to get to your blog because of access issues beyond both your and their control. For instance, I can't get to many gaming related blogs from my work computer because the net nanny used by the IT Nazis blocks "Games" sites. (But any professional sports are OK o.O)
In any event, you may have a wider readership than your hit stats indicate. Plus, you may get hits by people searching for pictures and such, but having no real interest in your blog. My greatest hits list in the far right column has a couple examples of this, in addition to being a self-fulfilling prophecy of sorts. More people click on "popular" links, thereby reinforcing their popularity.
This started out as a simple post about bloglists, and look what happened!
Blog Lists (a.k.a. Blogrolls)
You may want to try to get on the blog lists of others in the blogging community. There are a few ways to do this, but only one legitimate one: Write blog posts worth reading. If you write quality posts (this covers a wide variety of styles) that inform and/or entertain, people will follow you, subscribe, and maybe even put you on their lists. I currently have two lists in the right columns. One is the blogs I regularly follow (no, I don't read every single post) and the other consists of the new blogs posted by Syp in his NBI updates on Biobreak.
One thing I like about Blogger's list gadget (which can be added from the layout screen) is the option to show Latest First (the other option is Alphabetical), then limit the number showing (5, 10, 25 or All). The blogs that don't post fall off after a while, saving me the trouble of pruning my list of inactive blogs. I currently have all the NBI Blogs showing with the latest post from each. But later, I will probably limit it to the 10 (or 25) most recent posts. Notice that, as of this post, The Poison Mushroom does not actually have a feed, showing as broken in my configuration window, and sitting at the bottom of the actual list. Maybe they don't want an RSS feed, but maybe it's just not set up. When I limit my bloglist to the most recent ten, that blog will never show up. I have a few on my Blogging Friends list that I guess I should call out, too: I Am Writezalot, Mattplanet, and The Self-Aware Colony. I love you guys, but your blog never shows up on my list of latest-greatest, because you don't have RSS set up.
Bottom line (TL;DR): Look through your blog settings and set up the RSS (Site) Feed. You may choose not too, but you will be limiting your potential audience.