The trick with ST2 is to learn the command palette... Ctrl-Shift-P (Win) will open it. From there you can start typing any of the menu commands (and hidden commands) that are available. I came from a background of heavy Notepad++ use as well and after using ST2 for awhile now, key binds and the command palette are where the magic is.
For example, when I want to start writing a new CSS file: Ctrl-N (duh), Ctrl-Shift-P, CSS, Enter. This runs the "Set Syntax: CSS" command. It sounds easier to click on a menu, or toolbar button, but once you get used to this its so much faster.
Also, if you haven't already, open up the key binds file and peruse through it - try to use as many as you can so you see what they do. It helped me a ton.
But to answer your question, I don't think there's a toolbar at all. I believe ST1 had one, but it appears to have been ditched along the way.