Once you configure the command under the interface you should get a similar message
Interface assigned DHCP address , mask
You should be able to verify this by using "sh ip interface "
or "sh ip interface brief" should tell you the same, with the method of obtaining that ip address listed as DHCP.
You can also see the same using "show interface "
Regarding your second question. Once the DHCP ip address is obtained, a default static route comes up automatically in the ip routing table with an administrative distance of 254 and cost of 0. The next hop would be the default gateway assigned via DHCP.
It would look like this, when u give a "show ip route"
S* 0.0.0.0/0 [254/0] via
where next-hop is the default gateway assigned by the DHCP server.
You can control this or change this by giving a local default static route with lower admin distance, so that, this route is preferred.
ip route 0.0.0.0 0.0.0.0 X
where next-hop is the new gateway that you want to use, and X is a value lesser than 254.
Hope that helps
Sankar Nair
UC Solutions Architect
Pacific Northwest | CDW
CCIE Collaboration #17135 Emeritus