Brad
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Alexander (Aleksandrovskiy) Park is a 31 hectare public space just north of the Peter and Paul Fortress. You can access the park by way of the Gorky Metro station.
Originally designed between 1842-52, here you find a large public space to get away from the urban street life of St. Petersburg and enjoy some quiet green space. The park is particularly shady and attractive during summer when the trees are flush green, making this a good location to rest your feet during days of sightseeing in this area of the city.
In addition to a fair number of interesting monuments, there are a handful of attractions at Alexander Park as well. These include the Museum of Artillery, Leningrad Zoo, Planetarium and Music Hall State Theatre. Further, just across the canal to the south, you'll find the Peter and Paul Fortress. As such, quite a few hours can be spent in the park. In the end, lots to do/see around Alexander Park in St. Petersburg.