You don't say where in "central London" you will be living, but there is a direct service from London Waterloo to Bracknell, in the morning peak the trains run every 30 minutes and the journey takes 1 hour or slightly less.
Weekdays... First train out is 5:05 AM and then (more or less) every half hour throughout the day...
London Waterloo 05:05 Bracknell 06:20
London Waterloo 05:50 Bracknell 06:50
London Waterloo 06:20 Bracknell 07:20
London Waterloo 07:20 Bracknell 08:20
London Waterloo 07:50 Bracknell 08:20
London Waterloo 08:07 Bracknell 09:09
London Waterloo 08:37 Bracknell 09:37
London Waterloo 08:50 Bracknell 09:49
Pattern continues thought the day, the last (realistic) train from Waterloo to Bracknell is at 23:38 arriving at 00:37 (this is 12:37 AM in railway speak)
Same pattern coming back, basic service depart Bracknell at 2 and 32 past every hour (with some extras inserted into the pattern) last train leaves Bracknell 11:32 PM arrives Waterloo 12:32 AM
So, it takes about 1 hour and there are trains every half hour, occasionally more often.
Quite do-able, day return fare from £12.80 up to around £55 depending on ticket type and whether you buy online or at the station.
If your London base is nearer Paddington you can go from that station to Reading and change there for Bracknell, journey time and frequency about the same.