If I get the gummy bear implants; would I still have to get yearly mammograms?

Having any kind of implants does not change your screening criteria.  You continue to get mammograms based on your PCP/breast care physician, implants or not!

Yes, you will still need to do yearly mammograms after a breast augmentation.  Because the procedure is very common, centers that do mammography are very familiar with positioning the implant to get the best views of your breast tissue.