Some of the advice above is incorrect or incomplete.
FactoryTalk View SE absolutely can communicate with PLC-5, SLC-500, and MicroLogix family controllers (including the MicroLogix 1500) as well as with ControlLogix and CompactLogix family controllers.
It can use either RSLinx Enterprise or RSLinx Classic.
In most cases, RSLinx Enterprise is installed along with FactoryTalk View SE. It's not mandatory, and it's not always included in the licensing bundle. Check your installation to figure out exactly what's installed and activated.
Both RSLinx Enterprise and RSLinx Classic need to be activated before they can serve data to FactoryTalk View SE.
RSLinx Classic does it over good old OPC DA 2.05 connections, and RSLinx Enterprise uses the native FactoryTalk LiveData services (which are almost transparent to the user), but both of them definitely work with the MicroLogix 1500.
One thing that's notable from your list of software is that you say you have the FactoryTalk View SE Client and Studio, but you didn't mention a FactoryTalk View SE Server, or the "Station" or "Standalone" version of FactoryTalk View that runs the server and client on the same PC.
Just having a FactoryTalk View SE Client gets you nowhere; there has to be a Server involved. The server holds the screens and datalogs and databases and everything else, not just the communications data server.
In general the Server software is installed when the Studio software is installed, but you definitely need to take one or two steps back to determine if you're working on a distributed system or a standalone system.