Welcome @shunem. Usually Hubitat is connected into your wifi router via a LAN connection, as it doesn't contain a wifi chip. It instead has a Z-Wave and Zigbee radio.
Most of the officially supported products are z-wave/zigbee, with a few local integrations for things like Philips Hue, Lutron, etc, and a few cloud connections like IFTTT, Google Home, Alexa etc. A lot of local integrations use unofficial api methods which the team aren't supporting officially but the community is great at providing ways and means.
Example: [Release] Logitech Harmony Hub Driver v0.1.20190723
The harmony hub can control the Shield i think, as well as it can host other things like Plex for you to connect to. You won't find these integrations with official support, but the community is fantastic.
Edit: Oh there is an Android and IOS app already as well, which allows for push notifications, geolocation, and access to a control dashboard. Hubitat doesn't use an app to configure the automations, their philosophy is to keep configure and control separate.