  We report on the first pulsar and transient survey of the Galactic Center
(GC) with the Atacama Large Millimeter/submillimeter Array (ALMA). The
observations were conducted during the Global Millimeter VLBI Array campaign in
2017 and 2018. We carry out searches using timeseries of both total intensity
and other polarization components in the form of Stokes parameters. We
incorporate acceleration and its derivative in the pulsar search, and also
search in segments of the entire observation to compensate for potential
orbital motion of the pulsar. While no new pulsar is found, our observations
yield the polarization profile of the GC magnetar PSR J1745-2900 at
mm-wavelength for the first time, which turns out to be nearly 100 % linearly
polarized. Additionally, we estimate the survey sensitivity placed by both
system and red noise, and evaluate its capability of finding pulsars in orbital
motion with either Sgr A* or a binary companion. We show that the survey is
sensitive to only the most luminous pulsars in the known population, and future
observations with ALMA in Band-1 will deliver significantly deeper survey
sensitivity on the GC pulsar population.
