Hi,
Based on my experience, User from Forest A is logging on to a machine in Forest B, the computer policy from Forest B will be applied , and user policy from Forest A will not be applied by default.
If you want the users Group Policies from forest A to work in forest B, then please enable the below setting in the default Doman Policy (Forest B)
Computer Configuration/Administrative Templates/System/Group Policy/Allow Cross- forest user policy
Check the below link
http://support.microsoft.com/kb/823862
Best Regards,