According to Wikipedia,
Nofollow is an HTML attribute value used to instruct some search engines that a hyperlink should not influence the link target's ranking in the search engine's index.
Simply put, if a website or blog has a NoFollow attribute (rel="nofollow") added on the links embedded on their site, this attribute would BLOCK search engines like Google, Yahoo and MSN (to name a few) from following these links. Links which may be in the form of Blogroll, Comments or Link Exchange.
How To Check For NoFollow/DoFollow Blogs, The Hard Way
You can check if the blog or website you're visiting supports NoFollow or DoFollow movement by doing the following steps.(1) Go to the website/blog you'd like to visit.
(2) If you're a firefox user, click VIEW from the Menu Bar, go to PAGE SOURCE. (For IE users, choose SOURCE)
(3) Using your keyboard, Press CTRL + F.
(4) Type "nofollow" (without quotations), press ENTER.
IF it doesn't yield any result, congratulations because this means the blog/website you visited is a DOFOLLOW blog/website.
Another alternative is:
(1) Check any of the following:
a. blog/website's sidebar
b. ABOUT page
c. DISCLOSURE POLICY page
d. Comments form
(2) Look for either:
a. U COMMENT, I FOLLOW button

b.comments note
This blog is a DoFollow Blog so comment away!
How To Check For NoFollow/DoFollow Blogs, The EASY Way
NOTE: This is specifically for FIREFOX users only. ^_^
(1) Go to SearchStatus add-on page.
(2) Add to Firefox. Install.
(3) Restart Firefox.
(4) On the status bar, right click SearchStatus icon, check HIGHLIGHT NO FOLLOW LINKS

(5) Go to the website/blog you'd like to visit.
ALL NOFOLLOW LINKS WILL BE HIGHLIGHTED just like the image below.

Resources:
http://forums.digitalpoint.com/showpost.php?p=9337849&postcount=3
http://en.wikipedia.org/wiki/Nofollow
https://addons.mozilla.org/en-US/firefox/addon/321
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