All stars become gradually hotter the older they get. G-type stars like our sun are no exception to this. On a certain point in time (currently estimated at 1Gy from now), the energy output of our sun is so big, that the Carbonate–silicate cycle[0] cannot continue uninterrupted. Thus CO2 and CO cannot be absorbed by the geosphere. The breaking of this process will gradually enrich the atmosphere with CO2, leading to a runaway greenhouse effect (a bit like on Venus).

But I would not worry about that. It took 500My for life to evolve from trilobites to humans. This timespan is twice as long...

[0]: https://en.wikipedia.org/wiki/Carbonate%E2%80%93silicate_cyc...