Hero Lab that you use on your desktop or iPad is now called Hero Lab Classic. The new 100% web based Hero Lab server is called Hero Lab Online. These are shortened to HLC and HLO.
You can NOT buy Starfinder for HLC at this time. At this time LW is moving to a more modern setup and Starfinder is only for HLO. This requires not only a one time purchase but a very small monthly fee you pay in 6 month or 1 year installments.
The great part is since its web based you can access your characters and software from anywhere that has a internet connection. Future enhancements are going to allow for the starship to be a shared resource all players/DMs can access.
My group has been using it for a few months now and overall really liking it. It is really nice to access to HL characters with full In-Play support from any device now!