Let's start with the capital, Podgorica. A tour on foot will allow you to realise that the city offers little of interest outside of its authenticity and the opportunity to observe the Montenegrin way of life. But not far from the city, you'll be able to visit a wonder of nature: the national park of lake Skadar. Shared with Albania, this large lake is fed by several rivers, meandering leisurely between verdant hills. Continue towards the South-East to reach Ulcinj, where you won't be convinced you're still in Montenegro. This is due to the proximity of the Albanian border. The stone-built old town, right next to the sea, is full of charm.
Afterwards, head back up the coast. In the far North, from the coast to Kotor, you'll be impressed by both the touristy old town and the incredible fjord.
Inland, the country is just as interesting. Durmitor national park is home to mountains and majestic lakes. It's perfect for hiking in summer and snowshoe walking in winter. The Tara canyon is nearby, with a depth of 1,300 m, brilliant for just sitting and thinking, or for embarking on a white water rafting expedition. Finally, on the route back, there's the Ostrog monastry, attached to the side of a cliff, forming the last culture stop-off.
Montenegro is definitely a nature-first destination.