The Tudors perhaps shaded the game and went in front courtesy of an exquisite free-kick from skipper Jordan Parkes, but the visitors hit back in the second half through Jamie Lucas.
Hemel started the game brightly and created the first chance of the game, but striker Ben Mackey skewed his effort wide of the near post.
Parkes saw a long range effort sail wide soon afterwards, while Tudors keeper Laurie Walker had to be on his toes to tip a mis-hit cross round the post at the other end.
It was an entertaining clash, and Hemel broke the deadlock with 32 minutes on the clock through captain marvel Parkes.
Mackey was brought down with a scything tackle around 25 yards from goal, and Parkes stepped up to curl a sublime free-kick over the wall and into the top corner of the net to the delight of the home fans.
It should have been 2-0 just a couple of minutes later as Mackey got in front of his marker in the box, but he could only poke his effort over the bar from close range.
Parkes, Mackey and James Simmonds all had further efforts for the Tudors, while the Seagulls applied some pressure on the Hemel goal towards the end of the half, but the score remained 1-0 at half-time.
The first opportunity of the second period fell to Mackey, but his left-footed effort went wide from a tight angle, and the visitors hit back with 55 minutes on the clock.
Weston Super Mare broke down Hemel’s left flank, and the ball was eventually crossed from the edge of the box and tapped home by Lucas to restore parity.
Hemel came back in search of a second goal to regain their lead, and they almost got it as a looping header from Jorell Johnson was headed off the line by Jake Mawford.
The golden opportunity arrived a few minutes later when Tudors sub Dennis Oli latched on to a defensive mix-up in the Seagulls box, but he guided a bouncing effort wide with the goal gaping.
There were further half chances for both sides as the game wound to its conclusion, but in the end it was honours even and a point apiece.