For the most part, Solaris is just another Unix variant as far as libtabula is concerned. See the Unix README for most of what you need to know to build and use libtabula.
Prerequisite: Install the Database Engine Development Files
libtabula wraps the C API for multiple database engines. The development files for the DBMSes you want to use need to be installed before you try to build libtabula.
With the current version of Solaris at the time of this writing, a MySQL package is included on the operating system disk, but not installed by default. To install it, pull down the GNOME System menu, go to Administration, and then to Package Manager. Search for "mysql5" and install those packages. While there, you may also need to install the gcc packages, if you haven't done that already. You may need to install Perl as well.
Don't search for just "mysql" in Package Manager, as that will also bring up legacy MySQL 4.0 packages. libtabula may build against 4.0 still; it's been a while since we've tested it. What is certain is that the examples won't run against 4.0 without modification, as they assume the availability of UTF-8 character set support, which was added in 4.1.
It's no doubt possible to use the official binaries from mysql.com instead, or to build from source. We don't do that ourselves, though, and don't have reports from those who have, so we can't advise on how to do it.