Raunas Staburags
The Staburags cliff of Rauna is a 3.5 m high and 17 m long unique post-glacial natural object, a rock that is a source of freshwater limestone formed by springs. This is the only such nature object in Latvia since the great Staburags cliff of the Daugava River was flooded.
It is located in Rauna, Rauna parish (map here).
You can find out more about Raunas Staburags on this website.
Zilaiskalns
Zilaiskalns (“Blue hill”) is a 127-meter high hill in Kocēni municipality. It is an ancient sanctuary, a medieval cemetery and a nature reserve. Zilaiskalns has just recently obtained a sight platform, an informative stand, as well as an improved pathway and benches.
Zilaiskalns is located in Kocēni municipality, Zilākalna county (map here).
Saulrieta trail
The Saulrieta taka (Sunset trail) in Saulkrasti is a great spot along the coast for a peaceful walk. It starts by the White Dune and weaves for 3.5 kilometers until the Pēterupe River. The best view, as indicated by the title, might be at sunset, but views are guaranteed to be nice enough during the daytime -- especially with the weather as it is now.
Location on the map here.