Do I need to apply sunscreen the next morning?

The use of sunscreen products should be tailored to your skin type, your phototype, the daily UV index, how much you will be exposed to the sun, and your lifestyle. 
In the summer however, whatever your skin type, using a high SPF sunscreen and regular reapplication is a must if you are spending extended periods outdoors. 

Here are a few real-life examples to illustrate our recommendations: 
It's summer and Clémentine, who has olive skin prone to dark spots, walks 20 minutes every day to get to work. For her, high SPF applied every morning is essential, and reapplication is absolutely necessary if she goes out for lunch outside. 
Marie is very active or works outside all year long.  For her, regardless of the season, applying SPF50 is a must and should be reapplied every 2 hours due to her prolonged exposure.
Emma has fair skin and takes public transport to the office, where she stays all day. Her outdoor breaks are brief since it's winter and often cloudy. In her case, sun protection isn't necessary. An antioxidant cream will be enough to protect her skin from free radicals.