Terms of use of both platform (Google Maps and Bing Maps) does not allow to use the service result from a platform on another platform's control.
See:
(g) No Use of Content without a Google Map. You must not use or
display the Content without a corresponding Google map, unless you are
explicitly permitted to do so in the Maps APIs Documentation, or
through written permission from Google. In any event, you must not use
or display the Content on or in conjunction with a non-Google map. For
example, you must not use geocodes obtained through the Service in
conjunction with a non-Google map. As another example, you must not
display Street View imagery alongside a non-Google map, but you may
display Street View imagery without a corresponding Google map because
the Maps APIs Documentation explicitly permits you to do so.
- Bing Maps for Enterprise (3.2 q)
(q) Integrate road maps from the Services with road maps supplied by
any third party. You may not replace aerial imagery from the Services
with imagery supplied by any other mapping platform. Notwithstanding
the foregoing, you may overlay aerial imagery that you have the rights
to use, provided that such imagery does not substantially replace the
base aerial imagery provided by the Services. You may incorporate
various data layers of types not available through the Services, in
the Company Applications (for example, demographic or school location
data). You may combine or overlay Ordnance Survey's United Kingdom
mapping data or data derived from Ordnance Survey’s United Kingdom
mapping data (but not Ordnance Survey roads data) with the Services,
provided that you have procured all such rights to the Ordnance Survey
United Kingdom mapping data, that such use of the Ordnance Survey
United Kingdom mapping data with the Services is consistent with your
Ordnance Survey license, and that you indemnify Microsoft for such use
pursuant to Section 3.8.
In terms of licensing, you won't be able to display the Google Maps result on a Bing Maps control and the countrary.