Get internet access via bluetooth
What you are looking for is called reverse-tether (or "reverse tethering"), the word "reverse" explaining what your question mentions as the other way around. Reverse Tether is available via WiFi, Bluetooth, and USB -- but in most cases requires your device to be rooted.

You might want to search the playstore for "reverse tether", results are limited (currently 9 apps show up). Also follow the tag-link in the previous paragraph to find other questions. One that certainly matches your request is Is Internet tethering possible on Android phone via bluetooth or WiFi?. Also take a look at the questions mentioned in the "Related" section of this page (on the right-hand, if you're using a desktop browser).