Can we provide access to Bigip for only checking details not modifying it?

Sure. You can create an account for them, and for the permissions of the account, configure it as readonly.

http://support.f5.com/kb/en-us/products/big-ip_ltm/manuals/product/tmos_management_guide_10_1/tmos_users.html

Sure. You can create an account for them, and for the permissions of the account, configure it as readonly.

http://support.f5.com/kb/en-us/products/big-ip_ltm/manuals/product/tmos_management_guide_10_1/tmos_users.html

Edit destroyed my comment.

Chris' information holds true for 11.x. Create a local account or setup LDAP and set the role for the users/groups to be readonly.

Here's the 11.x access control document (including partition information) http://support.f5.com/kb/en-us/solutions/public/12000/100/sol12173.html

Jason