Yes, the Lisa can have multiple open and overlapping windows, just like the Macintosh (and the Xerox Star).

The Lisa Preferences program. Keep in mind that this is 1983; competitors' systems (and especially the IBM PC) were nowhere near as easy to set up and configure as the Lisa is.
Of course the Lisa doesn't have a whole lot in the way of expansion devices to worry about, but never let the facts get in the way of the story. :P

The Lisa has a very interesting copy protection scheme: any time the system did anything to a program on the disk, that "tool" would then become serialized with the serial number of the Lisa
Attempting then to go and run the tool on a different Lisa would not work.
Apple could get away with this because they were the only ones to produce Lisas, so each Lisa had a unique serial number encoded in the ROM.

LisaEm provides a way to set the emulated Lisa's serial number in order to work around this particular copy protection scheme...but it goes to show how long software vendors have been at this game.

Here again the system design shows up: running a program directly doesn't actually let you do anything with that program.

Just like in the real world, you are expected to "tear off" some "stationery" from a "pad" belonging to the program you are trying to run. In essence, rather than the typical "open program, create file, do things, save file" procedure typical in today's computing environment, you would "create file, open file in program, do things, save file".

Microsoft tried bringing this back with Windows 95, but it never really took off and it hasn't been revisited since.

Finally, here is an example of a running program on the Lisa, in this case LisaCalc.

Shutting down the Lisa. There is no shutdown command; you push the power button on the front which tells the Lisa to close all programs and power down.