A: If you are the blog owner, you do know its address (URL). There will be no need to search for your blog on the web. Paste your URL inside the address bar (not the Google search box). Click refresh and you will be taken instantly to your blog!
To become google-able and popular in the Blogosphere takes a lot of hard work on your part. You need first to post some interesting stuff that many people want to read/see/listen/watch. You also need to actively promote your blog and get the search engines involved. Perhaps you are not asking about this. If all you want is to work on your blog. Go to this screen: www.blogger.com and sign on to blogger using your ID and password.