EC Calculations in Java
How do I find an actual value for that point so I can manipulate it


You don't, because the articles you read are right, there is no affine representation for the point at infinity. The usual approach is then to have a flag or something in your point class that indicates whether it currently holds the point at infinity and trigger special behavior on the additon and doubling routines when this flag is set.


  that it has coordinates of (0,1)


This is true for curves in so-called Edwards form with $c=1$ (which is quite usual).


  how would I implement point multiplication?


In serious implementations projective coordinates or jacobian coordinates are used for these calculations and the point at infinity does have a representation using these coordinates with which you can work more easily.