S.H.
I can remember those days so well. I know how hard it is when they are so little and you are limited on what you can do.
At 2 monhts old there aren't a whole lot of things that will "entertain" her. Walks and the park are both great dieas. If it is cold or windy see if you can get to the mall and walk around inside. Meeting other Moms is a great idea. Then you can establish a playgroup where you can connect with other Moms in your area. Look online for playgroups near you.
My kids loved to hear me sing to them and read to them at that age. Try going to the local public library and getting some board books -- Sandra Boynton has some fun ones.