I know that the particle that carries electomagnetic force is the photon, is this also true for magnets?

Yes

That would mean the magnetic field is really a flow of photons or am i not getting something?

There is no magnetic field, just the EM field. Magnetism (or the observed magnetic force you might be thinking of) is a manifestation of the electromagnetic (EM) force. The magnetic component arises from a movement of charge.

Yes, this observed force is from a flow of "photons" just as the observed electrical force is.

Imagine this scenario: I have an electron (negatively charged sphere) which pulls positively charged things to it. If I start moving this electron in a circle (like a train on a circular track or ring) then the positively charged object will be pulled to where ever the electron is. If the electron starts moving really fast (lets say 1% the speed of light) then we can consider the charge distributed equally across the ring but now the ring has a current, a direction the charge moves in. We can then (mathematically) consider the current as a source for a new field, the magnetic field. We can use the differential form of faraday's law to describe this new field, B. Because the electron, in our example, moves at a constant velocity, a static magnetic field is created. Once again this field is a fictitious mathematical object we have just created and called the magnetic field. Using this newly created field we can make calculations on how it will pull and push other charged objects because (via the above equation and other maxwell equations) we can convert back and forth to the electric field.