Rocket noses come in all sorts and sizes. The driving factor is more likely to be functional than purely aerodynamic.
For example, the shown Saturn V has a pointy nose, because that nose is wearing a pointy Launch Escape System.
The Falcon 9 fairing nose is a blunted cone. (no escape system)
The Falcon 9 hoisting a crew Dragon2 has a mostly-cone with a rounded nose. (escape system mounted on the sides, which is part of why it's not a smooth cone shape)
The Soyuz nose is pointy, because like the Saturn V it has a very pointy launch escape system.
In the case of BO's New Shepard, it has a launch escape system, but the motor is affixed to the capsule bottom, between it and the rocket body. Thus it does not affect the shape of the nose.
If you are asking what shape is most aerodynamic, it would be a very sharp cone with a pointy tip. This shape is ok at subsonic speeds, and very superior at super->hypersonic speeds. Superior for drag, that is. It also heat up much more, and thus requires really fancy materials at the sort of speed rockets reach while still in real atmosphere.
However, for a rocket mass is more important. The very small aerodynamic advantage a pointy tip confers is outweighed by the mass saving benefit of a blunted cone. That shape has much smaller surface area and is a naturally stronger shape, thus can be built using lighter materials.
Yes, BO's New Shepard's nose is quite sufficiently aerodynamic. It is also a very good shape to facilitate reentry, house the parachutes, and give the passengers a decent window view. As with most engineering designs, it is the balance of all the requirements that leads to a suitable compromise solution.
Remember also that the New Shepard does not get to go very fast, it's top speed on the way up is only about 1000m/s, or mach 2.9-ish. Actual orbital rockets reach three times that speed in atmosphere on the way up, and 8 times that speed coming down.
What is not so aerodynamic is that ridge/ledge under the tip, where it joins the shaft. But this is required for the separation of the booster, and subsequent return of both pieces.
Supplemental info, specially added for jamesqf
THIS is a symmetrical aerofoil shape. Also known as "streamlined body"
(Airflow from the right to left. )
It is very aerodynamic. CD as low as 0.04
THIS is the shape of a raindrop.
It is very non-aerodynamic, CD from 0.5 (very small droplets, almost spherical, image B below) up to 1.45. Yes, you read that right. One point four five, for a large raindrop about to break up under its own aero drag, image E below.
(Airflow from bottom to top)
And the aerodynamic shape of the New Shepard is roughly a match for the rightmost of these shape, called the "bullet", which is basically a hemisphere on top of a long cylinder.
It is a pretty good but not perfect aerodynamic shape,
with a subsonic coefficient of drag of about 0.3 (due to the discontinuity leading to the rocket body)
(Airflow from left to right in this image)