A little bit far from city center BUT close to central market where you can buy exellent strawberries, cherries, blackberries, small and tasty potatoes, artisanal smoked salmon and sausage and also caviar (if you still have money for). We liked the little bit oldtime forgotten warf of Riga and the stalinian style tower. Appartment is very well equipped for cooking which is very important for french travelers.
Highly recommended.
Alain