There are a couple of things here which I've picked up on.
Most cases of "separation anxiety" have two components, boredom and attachment. Some cases are more one than the other (in fact, true separation anxiety is just that, anxiety about being parted from the owner).
Boredom is common: the dog has fun and pleasure and interaction when the owner is present and is bored when they are alone, so they entertain themselves. In your case I think you need to make sure she is always left with something to chew, such as a couple of stuffed Kongs, and only left after a long, stimulating walk. An Adaptil collar would be a very good idea, as would leaving a radio on and training her to use her crate when you leave her.
Attachment issues are also likely to be a significant problem in this case though, as you have said she follows you around and likes to be in contact with you. She has a strong bond with you and may find your absence particularly distressing. Does she show any signs of anxiety or unusual behaviour when you get ready to go out? How does she respond when you get in and does she calm down quickly or stay excited for a long period of time?
To help her cope better without you, you can start to teach her independence by making a conscious decision not to respond to her if she initiates an interaction with you. So, ignore her if she climbs on you, jumps up at you, nudges you, brings you toys etc. Then reward her when she is lying quietly by giving her attention and treats. This is harder than it sounds at first but will become second nature with practice. This teaches her that your presence itself is no guarantee of entertainment and that fun stuff happens on your signal, not on hers.
Also, be sure to ignore her for the 30 minutes before you leave, and do not say goodbye. Again on your return ignore her for 30 minutes, bar letting her out for a toilet stop, and only pay her attention once she is quiet. This takes all the excitement and anxiety and attention away from you leaving, and send a clear signal that it isn't play time. Ignoring her on your return means there's no anticipation of a highly exciting and rewarding return, because she learns it is always dull. Always leave her with a Kong so you can make being left a positive highlight between two dull periods.
Hopefully some of this will be of help. Remember she's still very young and needs an awful lot of time, training and interaction to stimulate her - if she isn't getting enough then everything else will be much more difficult to manage. :)