Mary,
I'm not sure if the ShurFlo pump system will work the way you want.
For background, a typical well pump system uses a pump, a pressure tank (accumulator tank), and a pressure switch.
The pressure switch controls the pressure. These days, the switch typically is set to turn the pump on when the pressure in the tank drops to 30-40 psi, and turns the pump off when the pressure reaches 50-60 psi.
The air pressure in the tank does NOT control the water pressure. It only acts as a cushion to push against the water pressure. Typical air pressure is 5-10 psi with no water in the tank.
The typical well pump flow rate is 7 gpm or higher as needed to meet maximum flow demand. The flow is measured over the pressure range set by the pressure switch.
Now let's look at your proposed system. The switch on the ShurFlo pump appears to shut off the pump when the outlet pressure reaches 55 psi. There is no indication that the pump will start at some lower pressure, so it looks like it will start back up when you lower the pressure by opening a faucet. That's why the pump instructions say a pressure tank is not needed.
The stated volume of most pressure tanks in considerably higher than what it will deliver to service. For a 2-gallon pressure tank, the "drawdown volume" from 55 psi to 40 psi likely will be in the range of 1/2- to 3/4-gallon.
I visited the ShurFlo pump site and downloaded the pump pressure curve, which indicates the flow rate vs. outlet pressure. The rated flow of 3 gpm is delivered only when there is no pressure at the outlet. At a discharge pressure of 40 psi, the flow drops to 1.2 gpm, and at 55 psi it drops to about 0.25 gpm.
What does all this technical stuff mean to you? Let's say you want to take a shower and the low-flow showerhead delivers 1.25 gpm. When you open the faucet, the ShurFlo pump should start and deliver water at the rate of 0.25 gpm. To keep up with the shower flow, water will flow at the rate of 1 gpm from the tank. After about a minute or two, the pressure will have dropped to 40 psi. At that pressure, the pump output will have increased to 1.2 gpm, so the pressure won't drop much more.
ShurFlo makes good pumps, and I know a lot of people who are very satisfied with them. However, it doesn't look like the accumulator tank will prevent pump cycling, and the only way to predict if it will deliver more water is to look at the performance curve for your current pump.