I would seriously suggest that you ask for a phone from your company.
I don't actually know if there is a form of mobile device management just through a Google account, but if so, I would be careful. Some companies route all traffic through their VPNs, Firewalls, they might install certificate for deep package inspection etc.
There is a reason for such measures, but they can compromise privacy.
Aside from very few exceptions, I would also advice companies not to add private phones to MDM. Phones are too cheap to take the risk.