We present initial results from the \textit{COS and Gemini Mapping theCircumgalactic Medium} (\mbox{CGMCGM} $\equiv$ CGM$^{2}$) survey. The CGM$^{2}$survey consists of 1689 galaxies, all with high-quality Gemini GMOS spectra,within 1 Mpc of twenty-two $z \lesssim 1$ quasars, all with S/N$\sim$10{\emph{HST/COS}} G130M$+$G160M spectra. For 572 of these galaxies havingstellar masses $10^{7} M_{\odot} < M_{\star} < 10^{11} M_{\odot}$ and $z\lesssim 0.5$, we show that the \ion{H}{1} covering fraction above a thresholdof \NHI$>10^{14} $cm$^{-2}$ is $\gtrsim 0.5$ within 1.5 virial radii ($R_{\rmvir} \sim R_{200m}$). We examine the \ion{H}{1} kinematics and find that themajority of absorption lies within $\pm$ 250 km s$^{-1}$ of the galaxy systemicvelocity. We examine \ion{H}{1} covering fractions over a range of impactparameters to infer a characteristic size of the CGM, $R^{14}_{\rm CGM}$, as afunction of galaxy mass. $R^{14}_{\rm CGM}$ is the impact parameter at whichthe probability of observing an absorber with \NHI $>$ 10$^{14}$ cm$^{-2}$ is$>$ 50\%. In this framework, the radial extent of the CGM of $M_{\star} >10^{9.9} M_{\odot}$ galaxies is $R^{14}_{\rm CGM} = 346^{+57}_{-53}$ kpc or$R^{14}_{\rm CGM} \simeq 1.2R_{\rm vir}$. Intermediate-mass galaxies with$10^{9.2} < M_{\star}/M_{\odot} < 10^{9.9}$ have an extent of $R^{14}_{\rm CGM}= 353^{+64}_{-50}$ kpc or $R^{14}_{\rm CGM} \simeq 2.4R_{\rm vir}$. Low-massgalaxies, $M_{\star} < 10^{9.2} M_{\odot}$, show a smaller physical scale$R^{14}_{\rm CGM} = 177_{-65}^{+70}$ kpc and extend to $R^{14}_{\rm CGM} \simeq1.6R_{\rm vir}$. Our analysis suggests that using $R_{\rm vir}$ as a proxy forthe characteristic radius of the CGM likely underestimates its extent.