There are many ways, depending on what you specifically need.
For the most basic command that will probably work immediately, just start up vim with multiple files like so:
vim -p file1 file2
This will open file1 and file2 in separate vim tabs.But vim tabs may not behave the way you would expect them to coming from other programs. You might prefer to just list all the buffers within one window instead. There are many plugins dealing with buffer management on the vim wiki and elsewhere. Here are two I found with a Google search that look at a glance like they might work [0], [1] (haven't tried, just looked at the page briefly)