We all know that moving electric charges produce magnetic fields. Gravity is said to be equivalent to acceleration which implies movement. Does this mean that an outside observer will see an electric charge within a gravity field as a magnet?
Yes. A charged particle being accelerated in a gravitational field will produce a magnetic field.
A moving charged particle is a current by definition. And electric currents produce magnetic fields. In fact, a charged particle being accelerated will produce electromagnetic radiation.
As you stated, this is something observed from the frame of reference of a stationary inertial observer (“outside observer” as you stated). In the frame of reference of the charge, you will see a static electric field.
outside observer will see an electric charge within a gravity field as a magnet?
Here, you mean “magnetic field” and not “magnet”. A magnet is an object that produces a magnetic field on its own, without the requirement of an accelerating field.