The stunning precision of Gaia's astrometry is already apparent in the first release of the data obtained by the satellite, available since last September. However, apart from the small TGAS subset (objects already observed by the 90ies HIPPARCOS astrometry satellite) there is no information on the objects' proper motions in DR1.
Until Gaia-quality proper motions will become available in DR2, the HSOY catalog – described in Altmann et al's paper Hot Stuff for One Year (HSOY) freshly up in arXiv and online at http://dc.g-vo.org/hsoy – can help if you can live with somewhat lesser-quality kinematics.
It derives proper motions for roughly half a billion stars from PPMXL and Gaia DR1, which already gives an unprecedented source for 4D astrometry around J2015. And you can start working with it right now. The catalog is available in GAVO's Heidelberg data center (TAP access URL: http://dc.g-vo.org/tap; there's also an SCS service). Fire up your favourite TAP or SCS client (our preference: TOPCAT) and search for HSOY.
Oh, and in case you're new to the whole TAP/ADQL game: There's our ADQL introduction, and if you're at a German astronomical institution, we'd be happy to hold one of our VO Days at your institute – just drop us a mail.