Does anybody know if during a bruins practice, you can get autographs?

Might be able to catch them in lobby on the way to the parking garage

Yes you can. I've gotten autographs from some of the players when the come off the ice. It seems to be at the players discretion as the same player does not always give autographs.

Is there a pro shop inside?

Chris Berry is right. It is at the players discretion, although it is sometimes discouraged they tend to give autographs to people as they exit the ice.

Policy is No the players are not allowed to sign autographs. But my nephews had practice pucks that flew over the glass signed by Backes.

No