I recommend that you just walk around the night market, hop on a tuk tuk for a tour around the city or grab some seats at rooftop restaurant/bars such as Bor Pen Nang or Salana Hotel.
We also got a tuk tuk to drive 45 minutes away to floating restaurant on the river. I recommend it if you find that you would like to do and see more apart from the city.
Our hotel in Vientiane was the Salana Boutique Hotel, which I believe is one of the best hotels in the city as it is new and also centrally located just a few blocks from the river.
Now, on to the FOOD! I really enjoyed the breakfast buffet at the Salana, that was inclusive in the room price.
They also had made to order eggs, pancakes, waffles and French toast.
After breakfast, we ventured out for more food!
Apart from restaurants, there was also abundant street food. On many streets, you can find vendors grilling up skewers, preparing noodles and local fried river fish.
Overall, I feel that the Lao cuisine is a blend of flavors from its neighbors Thailand, Vietnam and Cambodia. Vientiane is fairly small so we found ourselves hitting up some of the same restaurants/bar when we were there. Additionally, there is not an obvious restaurant/bar row so essentially, you will have to walk up and down various streets in search of food/drinks. But that's actually a good thing - it only means that Laos is still such a hidden gem.