Artem's apartment is in a relatively new building in an area that is seeing some gentrification. It is a 20 minute walk to the old town. The walk isn't very interesting but it takes you past the bus station, a small grocery store, the central market, and Stockmann department store. Public transportation is an option as are taxis (phoning for one in English was not a problem).
Artem was very responsive and offered some very helpful tips and recommendations for our stay in Riga.
The apartment itself is as lovely in person as it is in the pictures. The decor and all of the amenities are new and modern. The bathrooms are large and there is plenty of room to spread out. The neighborhood is quiet and there is a park nearby. The only problem for me was that the bed in the master bedroom was really hard, so much so that it felt like I was sleeping on the floor. Apart from the hard bed, I would definitely stay at this place again.