Is the local group bound to the Virgo cluster?
It would seem so. The local group is part of the Virgo cluster and as such is considered to be gravitationally bound. Although the Virgo cluster and the local group are currently moving apart, the mass if the Virgo cluster will likely slow and reverse the recession over time, with the local group ultimately merging with the cluster.

References:
http://astronomy.swin.edu.au/cosmos/V/Virgo+Cluster
http://heasarc.nasa.gov/docs/cosmic/local_supercluster_info.html