Early-time observations of Type Ia supernovae (SNe Ia) are essential to constrain their progenitor properties. In this paper, we present high-quality light curves of 127 SNe Ia discovered by the Zwicky Transient Facility (ZTF) in 2018. We describe our method to perform forced point spread function (PSF) photometry, which can be applied to other types of extragalactic transients. With a planned cadence of six observations per night ($3g+3r$), all of the 127 SNe Ia are detected in both $g$ and $r$ band more than 10,d (in the rest frame) prior to the epoch of $g$-band maximum light. The redshifts of these objects range from $z=0.0181$ to 0.165; the median redshift is 0.074. Among the 127 SNe, 50 are detected at least 14,d prior to maximum light (in the rest frame), with a subset of 9 objects being detected more than 17,d before $g$-band peak. This is the largest sample of young SNe Ia collected to date; it can be used to study the shape and color evolution of the rising light curves in unprecedented detail. We discuss six peculiar events in this sample, including one 02cx-like event ZTF18abclfee (SN,2018crl), one Ia-CSM SN ZTF18aaykjei (SN,2018cxk), and four objects with possible super-Chandrasekhar mass progenitors: ZTF18abhpgje (SN,2018eul), ZTF18abdpvnd (SN,2018dvf), ZTF18aawpcel (SN,2018cir) and ZTF18abddmrf (SN,2018dsx).
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