yes, just make sure this is in a room that gets constant heat. set the house thermostat to at least 70F and the cherry shrimp will be fine. after you breed good amounts of cherries in this bowl, and its all lush and green, then you should move on to crystals (keep in mind that they require soft water, so likely you'll have to at least use distilled water, re-mineralized with something like Mosura mineral plus.
At one gallon for about $1 or less, that will likely last you for 2-3 weeks, Water changes are not very expensive for 1 gal bowls lol.
But while you're keeping cherries, you can just use tap water for WCs.
I also recommend that you get some dwarf hairgrass for this bowl.