Is there any tool that will allow me to browse databases on my Android device? Something like Sql Management Studio - you know GUI tool that displays databases, tables, row
First of all, you will not be able to 'browse' the databases unless you logged in as root (there are several tutorials out there that explains how to get root on Android). Secondly, you can use adb shell (adb is included into the SDK), and when you are there you can use the sqlite3 command to browse the databases.
Of course, sqlite3 does not provide a GUI... but, you can copy the database you want to browse to your computer and use any GUI for sqlite there.