Based on your description, the chemical compound depicted seems to represent sodium hydroxide (NaOH). In your illustration, the symbol [Na] ^+ indicates a sodium ion with a positive charge, while [OH]^- indicates the hydroxide ion with a negative charge.
The two dots (:) you referred to before the OH likely represent unshared electron pairs or lone pairs on the oxygen atom in the hydroxide ion. The symmetrical placement of the dots above and below the O atom indicates the presence of these electron pairs, which are characteristic of oxygen in hydroxide.
Now, regarding whether NaOH is a base or an acid: sodium hydroxide is classified as a strong base. This is because hydroxide ions (OH^-) can accept protons (H+) from acids, thus increasing the pH of a solution. Bases typically produce hydroxide ions when dissolved in water, which is consistent with the behavior of NaOH.
Thus, the description that most accurately characterizes the molecule depicted in your image is that it represents a base (specifically, a strong base) due to the presence of the hydroxide ion, which can react with acids and increase the pH when dissolved in an aqueous solution.