美国的bloomington算是city吗

当然是。

Bloomington is the name of some places in the United States of America:

Bloomington, California
Bloomington, Idaho
Bloomington, Illinois
the Bloomington meteorite of 1938, which fell in Illinois, United States (see Meteorite falls)
Bloomington, Indiana
Bloomington, Maryland
Bloomington, Minnesota
Bloomington, Missouri
Bloomington, Nebraska
Bloomington, Texas
Bloomington, Utah
Bloomington (Louisa, Virginia), listed on the NRHP in Virginia
Bloomington, Wisconsin
Bloomington (town), Wisconsin
Bloomington Township, McLean County, Illinois
Bloomington Township, Indiana
Bloomington Township, Decatur County, Iowa
Bloomington Township, Muscatine County, Iowa
Bloomington Township, Kansas
Bloomington Township, Minnesota
Bloomington Township, Missouri
New Bloomington, Ohio
and in Canada:

Bloomington, Stormont-Dundas-Glengarry, Onta