By now, you should be looking at something like the following.
If you added an SSH key during the droplet creation process, you're probably already familiar with SSH - just connect directly to the displayed IP address with the username "root".
Otherwise, check your e-mail. You should have a root password waiting.
DigitalOcean droplets offer in-browser access to the console. Just click that "Console Access" button and enter "root" for the username, followed by the password from your e-mail. You'll be immediately prompted to replace this with a password of your own choosing, and then you should find yourself with a shell prompt.
First, download a copy of PuTTY. You just need putty.exe from that link, to start.
[email protected][your ip address] in the "Host Name (or IP address)" field and hit the "Open" button.
First, get to a terminal. On the Mac, look for the Terminal in your Applications folder. On Linux, run one of xterm, lxterm, Gnome Terminal, etc. In menus, these can usually be found under "Accessories".
Once you're at a prompt, just invoke SSH like so.
192.168.0.5 with your droplet's IP address.