Inside the Monument, be sure to go up to the observation floor for pretty-good views of the big park-like area around the Monument & of the rooftops stretching to some distance in all four directions (no view of the sea though). Also inside the Monument, just slightly below the observation floor is the floor with "beautiful dioramas" which are miniature scenes with "life-like" human figures the likes of which you may have also seen at places like under the Monas Monument in Jakarta & Fort Vredeburg in Yogyakarta, but the ones here are "Bali-themed" which kind of tell the history of the island from the prehistoric times through the Dutch colonial period (some "amazing" battle scenes that took place on the island in the 19th century to be seen) to the time of the Independence movement after WW2; and after checking out the dioramas, that is the floor where you can also "go outside" and enjoy the views without having to look through glass (unlike the observation floor above).
The immediate area around the Monument is also a "sight" in itself with some colorful leaves, flowers & water all the way around in like a "mini-moat" (with also some fountains in it); and yes it's only that area that offers "vantage points" for great "close" pics of the Monument (not from the area with the water which is closest to the Monument, but from the area "right below" that).
And another point of interest here (but not inside the Monument or on its immediate grounds) is the 'IAMBALI' sign which is to your right just before going up the steps to the immediate area around the Monument from the big park-like area below (IAM as in interactive art museum which is just near that sign, but its entry is not on the same ticket for the Monument).
If you're near the north end of the Sanur Beach and don't mind a bit of a walk, I would suggest one (for about 45 minutes along Jl. Hang Tuah that goes straight from the north end of the beach to this monument to the west) which I found a "pleasurable walk" for these beautiful gardens just one after another along part of the way (a "fairly-lengthy" stretch really) on one side of that road, and there's also Plaza Renon shopping mall shortly after the end of the gardens and about 15 minutes before reaching the big park-like area where this monument is.