Getting Nest to work, that's easy bit, getting some advantage is some thing else. It does depend on house, fitted a programmable thermostat to my house, and it was great, fitted one to mothers house, it was a flop.
Old central heating and central heating in open plan houses can work very well with a programmable thermostat, new condensate boilers and houses with doors on every room have problems. Nest however does use IFTTT so can be programmed to either follow eTRV heads, or the eTRV heads can follow nest so yes it can do a good job. However something like EvoHome is much better.
With mothers house in hind sight and hind sight is easy I should have used EvoHome. Now I have it working reasonable, but it took a lot of doing. So let me explain the changes. With the condensate boiler you got something very new, one the flame height can vary, and two the return water temperature matters. This has turned control of central heating on its head, now the thermostatic radiator valve (TRV) is the main control device, unlike the wall thermostat it does not turn heating on/off but gradually increases or reduces flow in the radiators and boiler flame height giving a hysteresis free individually room control.
However it has a problem, as summer arrives, the boiler needs to turn completely off, the best option is for the eTRV heads to tell a central hub when each room is satisfied and when all rooms are satisfied it turns the boiler off. However expensive, so cheap option is to fit a wall thermostat in the coolest room, which also has no alternative form of heating and no outside doors so when that room is warm enough the heating turns off.
The cheap option often has a problem, in that there is often no room which is always colder than the rest with no alternative heating and no outside door. This was the case with mothers house, so the way around problem was to fit the wall thermostat in the hall and also have a TRV in the hall and carefully match the two devices, so you get the hall to warm up rapid until nearly the set temperature, but slow down for last few degrees, so all other rooms can catch up.
OK it works, but the problem is matching the TRV with the wall thermostat, and once this is done you don't want to alter either. This is where the programmable thermostat falls down, although in theory you could use a eTRV head and nest thermostat matched to each other, the eTRV head will control the room to around +/- 1°C where the standard TRV is more like +/- 2°C and you need that extra to stand a chance of matching them up. So if you have to leave the Nest set to just one setting, then what is the point in having it?
As said that is not true for all systems, for boilers which can only switch on/off with no TRV fitted then Nest is likely a good move. But with such a simple system would it really be worth fitting Nest? If a simple system I would fit a wired programmable thermostat and set the existing programmer to 24/7 central heating running, unless thermosyphon hot water, in that case first move is fit a motorised valve to hot water system.