Different bahavior can be, but inside someMethod.
Say you have 
class Foo: IFoo {
    public fooProp { get; set; }
}
interface IFoo {
    fooProp {get; set; }
    myCustomProp {get;set}
}
if you have 
public void someMethod(Foo _foo){
     _foo.myCustomProp; //CAN DO THIS, AS YOUR TYPE IS _FOO_
}
Which will not be possible to do in case when the parameter of the method is defined like.
public void someMethod(IFoo _foo){
     _foo.myCustomProp; //NO SUCH METHOD INFO
}
unless you don't cast. So the difference is that decaring IFoo, to decalre generic access parameter, but get less "potential" in terms of data access, but get a huge potential in abstraction over types in your architecture.
So the difference will be only in regard of architecture and program workflow.