Q:

Total force on upper block in two block system

If a block $m$ is placed on another block $M$ and a force $F$ is applied on bolck $M$. Then how many forces are acting on block $m$.(Friction is non zero)

The image is taken from this site.
Is pseudo force acting on block $m$ or not? 

A:

No pseudo-force ever acts on anything. A pseudo-force is - as the name indicates - imaginary and non-existing. It is just a "feeling" or "illusion" of a force. So don't worry about pseudo-forces; just stick to inertial reference frames (references that aren't accelerating), and you never have to worry about them.
In your case, if the bottom block accelerates because of that force $F$, then friction - and only friction - acts on the upper block in the horizontal direction. This friction pulls the upper block along with the lower block.
Vertically, there is a normal force as well as gravity, of course. They cancel each other out, so only the friction causes its acceleration.

