In 2016 the halving was early July. Depending on the exchange, the price was as follows:
May 1, 2016 $453
June 1, 2016 $536
July 1, 2016 just before the halving $677
The price increased about 50% from May 1 to July 1 just before the halving event.
Should we expect something similar this time?
Quite tough to consider especially when there's no reason behind for such price increase to happen. Besides such huge increase in the time span of 3 months was big however with bitcoin price right now I don't think it would happen the same way as the price of btc right now were farther away than 2016's. We could expect similar but not the same ratio it increased.