For the purpose of this post I am assuming that you have your blog set up, and you have registered with Feedburner so that you can add a RSS (Real Simple Syndication) and an email opt in section so that people can sign up for regular updates to your Blog.
If you have not done so already, sign with Google and get an account for free. I also suggest you sign up for a Goggle Gmail email account as well for free. You don't want your primary email address to show on your Blog because you will get more spam than you want to deal with.
The next thing I suggest is that you also sign up for IGoogle also for free. This allows you to put different applications such as Google Reader and Gmail on your personal page so that you can read blogs you may have signed up for, read your Gmail, and a whole bunch of other applications that they offer with this feature, again all for free.
OK here is a list of some of the ways that you can attract visitors to your Blog. This takes time, and you have to work at it and you will have to spend some time every day on this. It will take a few months before you start to get more visitors.
Comment On The Blog Posts Of Other Artists
I follow about 40 different artists who have blogs, and some times I will comment on a particular post because it interests me, I am responding to a poll, or I just want to make a positive comment about a particular piece of artwork.
However don't make a comment like "Gee great post", if the comments on the blog are moderated, the owner may consider those types of comments as spam, and not publish it. You want to provide a comment that is on topic, such as "I love this painting because of the vibrant colors you used". Many blogs have a section in their comments where you can put in the address of your Blog or Website, and someone reading your comment might be interested, and visit your Blog. This happens quite frequently, and is a proven way to attract visitors.
Register Your Blog Or Website With The Search Engines
It will take some time before your Blog will be looked at by the search engines and indexed, but this is something that you must do right away.
Register your Blog with Google.
Register your Blog with Yahoo.
Register your Blog with MSN.
Here is a link to a great post on how to do all of this by JTpratt, a blogger I have followed for a few years.
Register With Some Art Groups Or Forums
Art Groups and Forums are a great way to meet other artists and promote your work.
Join Wetcanvas for free, Registration Required.
Join Everyday Matters Yahoo Group, Registration Required.
Register Your Blog With Blog Directories
Registering with Blog directories is usually free, and will bring more visitors to your blog. They will often ask you to put their "Badge" on your website, and they provide the HTML that you can use to create a "Gadget" to add to your Blogger Blog.
Register with Blogged Directory
Register with Blogcatalog Directory
Register with BlogTopSites Directory
Register with Top Artists Directory
Link To Your Favorite Blogs By Putting A Link To Them On Your Blog
This is another great way to get some visitors. In the right hand column of my blog you will see links to the blogs that I like, and that I follow. This again is done very easily by creating a Gadget in Blogger. Sometimes Blogs you link to will reciprocate and link to you. Creative Spotlite which has a direct link to on my blog will add your blog to thier artist directory if you email them.
Some bloggers are very aggressive about this and ask for a reciprocal link right away. They believe you only get what you ask for. You might consider this if you are following a blog on a regular basis, and mention to the owner in an email that you have linked to them. I think it is best not to be too pushy about this. Remember that you are trying to provide more value to the readers of your blog.
Register With Social Networking Websites For Free
Another great way to get more visitors is to set up accounts with Social Networking Sites.
Register with Facebook
Register with Twitter
Register with Stumbleupon
Register with Digg
I have followed a few very successful Bloggers for over a year now, and some of them offer FREE Ebooks that you can download, and get a gigantic amount of information on Blogging and Marketing, and they are well worth reading. These Ebooks will give you all the information that you need to become a successful Blogger.
John Chow Free Ebook
Yaro Starak Free Ebook
SEO (Search Engine Optomization)
There is a ton of information on the Internet about SEO, and it is important because it gives you organic search results from the search engines which the search engines like, and they will rank your blog higher in page rank if you have a lot of organic search engine traffic.
Empty Easel Articles On SEO
And Last But Not Least, Give Away Something For Free
A number of artists have had success by giving away a greeting card or small print of their artowrk for free. You may have done some painting tutorials or something like that of value that you are prepared to give away for free if they sign up for your Blog.
Well, I have covered a fair number of items that I hope will be of some help to you in getting more visitors to your blog. Please feel free to add comments or ask questions.