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Previous results in the literature have found the young inner-disk opencluster NGC 6705 to be mildly $\alpha$-enhanced. We examined this possibilityvia an independent chemical abundance analysis for 11 red-giant members of NGC6705. The analysis is based on near-infrared APOGEE spectra and relies on LTEcalculations using spherical model atmospheres and radiative transfer. We finda mean cluster metallicity of $\rm [Fe/H] = +0.13 \pm 0.04$, indicating thatNGC 6705 is metal-rich, as may be expected for a young inner-disk cluster. Themean $\alpha$-element abundance relative to iron is $\rm \langle[\alpha/Fe]\rangle =-0.03 \pm 0.05$, which is not at odds with expectationsfrom general Galactic abundance trends. NGC 6705 also provides important probesfor studying stellar mixing, given its turn-off mass of M$\sim$3.3 M$_\odot$.Its red giants have low $^{12}$C abundances ([$^{12}$C/Fe]=$-$0.16) andenhanced $^{14}$N abundances ([$^{14}$N/Fe]=+0.51), which are key signatures ofthe first dredge-up on the red giant branch. An additional signature ofdredge-up was found in the Na abundances, which are enhanced by [Na/Fe]=+0.29,with a very small non-LTE correction. The $^{16}$O and Al abundances are foundto be near-solar. All of the derived mixing-sensitive abundances are inagreement with stellar models of approximately 3.3 M$_{\odot}$ evolving alongthe red giant branch and onto the red clump. As found in young open clusterswith similar metallicities, NGC 6705 exhibits a mild excess in the s-processelement cerium, with $\rm [Ce/Fe] = +0.13\pm0.07$.