  GX 3$+$1, an atoll type neutron star low-mass X-ray binary, was observed four
times by Soft X-ray Telescope and The Large Area X-ray Proportional Counters
on-board \textit{AstroSat} between October 5, 2017 and August 9, 2018. The
hardness-intensity-diagram of the source showed it to be in the soft spectral
state during all the four observations. The spectra of the source could be
adequately fit with a model consisting of blackbody ($\mathtt{bbody}$) and
power-law ($\mathtt{powerlaw}$) components. This yielded the blackbody radius
and mass accretion rate to be $\sim$8 km and $\sim$2 $\times$ $10^{-9}$
M$_{\odot}$ y$^{-1}$, respectively. In one of the observations, a Type I X-ray
burst having a rise and e-folding time of 0.6 and 5.6 s, respectively, was
detected. Time-resolved spectral analysis of the burst showed that the source
underwent a photospheric radius expansion. The radius of the emitting blackbody
in GX 3$+$1 and its distance were estimated to be 9.19
$\substack{+0.97\\-0.82}$ km and 10.17 $\substack{+0.07\\-0.18}$ kpc,
respectively. Temporal analysis of the burst yielded upper limits of the
fractional RMS amplitude of 7$\%$, 5$\%$ and 6$\%$ during burst start, burst
maximum and right after the radius expansion phase, respectively.
