Air Pump

Hello,

I just got a goldfish and two ghost shrimp. All three live in a two gallon glass bowl. My question is: will the fish be able to survive without an air pump, or will I need one to oxygenate the water? I put in a “lucky bamboo” plant because I thought it would help add oxygen to the water. Thanks in advance!
… Guess I should have gone with a betta.