They make test plugs for stopping drains, but it's not quite that simple. If this is a tiled shower base, there are two openings into the drain...the one at the top of the tile you can see, and a second set (called weep holes) burried in the pan above the liner. The weep holes provide a path for any water than migrates below the tile to drain out rather than accumulating. The liner is burried in the deck mud, and must be sloped to channel that slow migration of moisture to the weep holes.
You can emulate a drain plug with a long balloon. Since the weep holes are about an 1"-2" below the top of the drain, if you blow it up while in the drain, you can plug both the top of the drain and the weep holes with one. If you have a leak in the liner, it should still show up after 24-hours. Unless you live in the desert, you shouldn't have much evaporation in 24-hours, so the level shouldn't go down much. Common pan leaks are from the clamp area, and the curb. Occasionally you'll get them from the sides when someone put a nail too low, or didn't run the liner up high enough, or let the metal lath poke a hole during construction, or just plain sloppiness during construction.