Generally speaking, the minima for an instrument approach is predicated solely on becoming visual (or not) and has nothing to do with aircraft on the runway- that is an entirely different consideration.
The different consideration is whether or not you have adequate separation between other aircraft. More than often it is a safe bet that if the tower has cleared you to land, the minimum separation is (or will be) present. Separation standards will be listed in your regs/operational documents somewhere.
Of course, if there is any doubt as to your safety if the approach and landing is continued, go around.